The value of $\sum_{r=1}^n \frac{{ }^n P_r}{r !}$ is

Question

Aayush Asked Jun 3

60 views

1 Answer

RELATED DOUBTS

thedablukumar Asked Mar 24, 2023

163 views

The value of $\left|(1+i) \frac{(2+i)}{(3+i)}\right|$ is

thedablukumar Asked Mar 24, 2023

by thedablukumar

1 Answer

2 Votes

163 Views

LEELADHAR YADAV Asked Aug 27, 2023

99 views

The value of $\cot \left(\sum_{n=1}^{23} \cot ^{-1}\left(1+\sum_{k=1}^n 2 k\right)\right)$ is

LEELADHAR YADAV Asked Aug 27, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

99 Views

AnjaliYadav Asked Jul 16, 2022

120 views

The value of $\lim _{n \rightarrow \infty} \frac{1}{1 \cdot 3}+\frac{1}{3 \cdot 5}+\frac{1}{5 \cdot 7}+\ldots+\frac{1}{(2 n-1)(2 n+1)}$ is

AnjaliYadav Asked Jul 16, 2022

by AnjaliYadav

1 Answer

3 Votes

120 Views

Aayush Asked Mar 5

39 views

If $A=\left[\begin{array}{rr}r & -2 \\ 3 & 7\end{array}\right]$ and $A^{-1}=\left[\begin{array}{cc}\frac{7}{34} & \frac{1}{17} \\ \frac{-3}{34} & \frac{2}{17}\end{array}\right]$, then the value of x is

Aayush Asked Mar 5

by Aayush

1 Answer

0 Votes

39 Views

AnjaliYadav Asked Aug 19, 2021

102 views

If a = -1, b = 7 and c = 6, then find the value of (a+b) +c.

AnjaliYadav Asked Aug 19, 2021

by AnjaliYadav

1 Answer

4 Votes

102 Views

ANAND_YADAV Asked Jul 29, 2023

89 views

$\int \frac{x d x}{\sqrt{2 a x-x^{2}}}=a^{n} \sin ^{-1}\left[\frac{x}{a}-1\right]$. The value of $n$ is —

ANAND_YADAV Asked Jul 29, 2023

by ANAND_YADAV

1 Answer

0 Votes

89 Views

ALOK_RAJ Asked Apr 24, 2022

221 views

If the total number of experiments is n, then empirical probability of happening of event E is defined as :

ALOK_RAJ Asked Apr 24, 2022

by ALOK_RAJ

1 Answer

5 Votes

221 Views

Chandan Asked Sep 11, 2023

84 views

What is the exact value (not decimal) of the sin of a 40 degree angle of a right triangle?

Chandan Asked Sep 11, 2023

by Chandan

0 Answers

0 Votes

84 Views

Aayush Asked Mar 2

36 views

If $x^m y^n=2(x+y)^{m+n}$, the value of $\frac{d y}{d x}$ is

Aayush Asked Mar 2

by Aayush

1 Answer

0 Votes

36 Views

ALOK_RAJ Asked Dec 17, 2023

40 views

The value of $\lim _{x \rightarrow \infty} \frac{(\ell n x)^{2}}{x^{2}}$ is

ALOK_RAJ Asked Dec 17, 2023

by ALOK_RAJ

1 Answer

1 Vote

40 Views

ALOK_RAJ Asked Dec 17, 2023

75 views

The value of $\lim _{x \rightarrow 0^{+}}(\sin x)^{1 / \ell n x}$ is

ALOK_RAJ Asked Dec 17, 2023

by ALOK_RAJ

1 Answer

1 Vote

75 Views

ALOK_RAJ Asked Dec 17, 2023

49 views

Value of $\lim _{x \rightarrow \frac{\pi}{2}} \tan x \cdot \ell n \sin x$ is

ALOK_RAJ Asked Dec 17, 2023

by ALOK_RAJ

1 Answer

1 Vote

49 Views

LEELADHAR YADAV Asked Aug 11, 2023

54 views

Show that $-{a}$ is not the inverse of ${a} \in {N}$ for the addition operation + on ${N}$ and $\frac{1}{{a}}$ is not the inverse of $a \in {N}$ for multiplication operation $\times$ on ${N}$ for ${a} \neq 1$.

LEELADHAR YADAV Asked Aug 11, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

54 Views

Saurabh Kumar Verma Asked Jun 9, 2022

181 views

The sum to n term of the series $\frac{1}{\sqrt{1}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+\ldots \text { is }$

Saurabh Kumar Verma Asked Jun 9, 2022

by Saurabh Kumar Verma

1 Answer

3 Votes

181 Views

Saurabh Kumar Verma Asked Jun 9, 2022

135 views

The sum of n terms of the series $\frac{3}{1^2}+\frac{5}{1^2+2^2}+\frac{7}{1^2+2^2+3^2}+\ldots$ is

Saurabh Kumar Verma Asked Jun 9, 2022

by Saurabh Kumar Verma

1 Answer

3 Votes

135 Views

LEELADHAR YADAV Asked Sep 3, 2023

94 views

Let $g: R \rightarrow(0, \pi / 3]$ is defined by $g(x)=\cos ^{-1}\left(\frac{x^2-k}{1+x^2}\right)$. Then find the possible values of ' $k$ ' for which $g$ is surjective.

LEELADHAR YADAV Asked Sep 3, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

94 Views

Aayush Asked Mar 6

38 views

The value of $\left(\frac{-1+\sqrt{-3}}{2}\right)^{100}+\left(\frac{-1-\sqrt{-3}}{2}\right)^{100}$ is

Aayush Asked Mar 6

by Aayush

1 Answer

0 Votes

38 Views

Aayush Asked Mar 5

82 views

If $f(x)=\left\{\begin{array}{ll}\frac{1-\cos x}{x}, & x \neq 0 \\ k, & x=0\end{array}\right.$ is continuous at x=0, then the value of k is

Aayush Asked Mar 5

by Aayush

1 Answer

0 Votes

82 Views

Aayush Asked Mar 5

34 views

The value of $\lim _{x \rightarrow 0} \frac{(1-\cos 2 x) \sin 5 x}{x^2 \sin 3 x}$ is

Aayush Asked Mar 5

by Aayush

1 Answer

0 Votes

34 Views

Aayush Asked Mar 4

38 views

If $\sin ^2 \theta=\frac{1}{4}$, then the most general value of $\theta$ is

Aayush Asked Mar 4

by Aayush

1 Answer

0 Votes

38 Views

ALOK_RAJ Asked Dec 17, 2023

69 views

The value of $\lim _{x \rightarrow 0} \frac{(1+x)^{1 / x}-e+\frac{e x}{2}}{11 x^{2}}$ is equal to

ALOK_RAJ Asked Dec 17, 2023

by ALOK_RAJ

1 Answer

1 Vote

69 Views

ALOK_RAJ Asked Dec 17, 2023

55 views

The value of $\lim _{x \rightarrow 0} \frac{2-(256-7 x)^{1 / 8}}{(5 x+32)^{1 / 5}-2}$ is

ALOK_RAJ Asked Dec 17, 2023

by ALOK_RAJ

1 Answer

1 Vote

55 Views

Ankit Asked Sep 15, 2023

143 views

If the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{b^2}=1$ and the hyperbola $\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is

Ankit Asked Sep 15, 2023

by Ankit

1 Answer

0 Votes

143 Views

Ankit Asked Sep 15, 2023

71 views

The value of $\lim _{x \rightarrow 0}\left(\frac{e^x-1}{x}\right)$ is

Ankit Asked Sep 15, 2023

by Ankit

1 Answer

0 Votes

71 Views

John Michael Asked Sep 13, 2023

57 views

If $\int_0^p \frac{d x}{1+4 x^2}=\frac{\pi}{8}$, then the value of $p$ is

John Michael Asked Sep 13, 2023

by John Michael

1 Answer

0 Votes

57 Views

LEELADHAR YADAV Asked Aug 30, 2023

120 views

What is the principle value of $\cos ^{-1}\left(\cos \frac{2 \pi}{3}\right)+\sin ^{-1}\left(\sin \frac{2 \pi}{3}\right)$

LEELADHAR YADAV Asked Aug 30, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

120 Views

LEELADHAR YADAV Asked Aug 28, 2023

242 views

The value of $\cot \left(\operatorname{cosec}^{-1} \frac{5}{3}+\tan ^{-1} \frac{2}{3}\right)$ is

LEELADHAR YADAV Asked Aug 28, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

242 Views

LEELADHAR YADAV Asked Aug 27, 2023

153 views

Let $f:(-1,1) \rightarrow \operatorname{IR}$ be such that $f(\cos 4 \theta)=\frac{2}{2-\sec ^2 \theta}$ for $\theta \in\left(0, \frac{\pi}{4}\right) \cup\left(\frac{\pi}{4}, \frac{\pi}{2}\right)$. Then the value $(s)$ of $f\left(\frac{1}{3}\right)$ is (are)

LEELADHAR YADAV Asked Aug 27, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

153 Views

LEELADHAR YADAV Asked Aug 27, 2023

233 views

Let $f(\theta)=\sin \left(\tan ^{-1}\left(\frac{\sin \theta}{\sqrt{\cos 2 \theta}}\right)\right)$, where $-\frac{\pi}{4}<\theta<\frac{\pi}{4}$. Then the value of $\frac{d}{d(\tan \theta)}(f(\theta))$ is

LEELADHAR YADAV Asked Aug 27, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

233 Views

ALOK_RAJ Asked Dec 17, 2023

41 views

Value of $\lim _{x \rightarrow 0} \frac{\sqrt[3]{1+\tan x}-\sqrt[3]{1-\tan x}}{x}$ is

ALOK_RAJ Asked Dec 17, 2023

by ALOK_RAJ

1 Answer

1 Vote

41 Views

LEELADHAR YADAV Asked Aug 28, 2023

75 views

Let $\tan ^{-1} y=\tan ^{-1} x+\tan ^{-1}\left(\frac{2 x}{1-x^2}\right)$, where $|x|<\frac{1}{\sqrt{3}}$. Then a value of $y$ is

LEELADHAR YADAV Asked Aug 28, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

75 Views

LEELADHAR YADAV Asked Aug 28, 2023

58 views

If $\sin ^{-1}\left(\frac{x}{5}\right)+\operatorname{cosec}^{-1}\left(\frac{5}{4}\right)=\frac{\pi}{2}$ then a value of $x$ is-

LEELADHAR YADAV Asked Aug 28, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

58 Views

LEELADHAR YADAV Asked Sep 1, 2023

85 views

Show that the function $f$ in $A=R-\left\{\frac{2}{3}\right\}$ defined as $f(x)=\frac{4 x+3}{6 x-4}$ is one-one and onto. Hence find $f^{-1}$

LEELADHAR YADAV Asked Sep 1, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

85 Views

LEELADHAR YADAV Asked Aug 30, 2023

65 views

Let $A=R-\{3\}$ and $B=R-\{1\}$. Consider the function $f: A \rightarrow B$ defined by $f(x)=\left(\frac{x-2}{x-3}\right)$. Show that $f$ is oo one and onto and hence find $f^{-1}$.

LEELADHAR YADAV Asked Aug 30, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

65 Views

LEELADHAR YADAV Asked Aug 13, 2023

99 views

Let n be a fixed positive integer. Define a relation R on the set of integers Z, $a R b \Leftrightarrow n \mid(a-b)$. Then prove that R is equivalence relation

LEELADHAR YADAV Asked Aug 13, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

99 Views

ASK DOUBTS

The value of $\sum_{r=1}^n \frac{{ }^n P_r}{r !}$ is

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 Comments

Please log in or register to add a comment.

RELATED DOUBTS

CATEGORIES

POPULAR TAGS