Let \( f(x)=\lim _{n \rightarrow \infty}(\sin x)^{2 n} \), then \( f \) is:....

Channel:
PW Solutions
Subscribers:
453,000
Published on ● Video Link: https://www.youtube.com/watch?v=9HjjuHscix4


Duration: 2:45
1 views
0

Let \( f(x)=\lim _{n \rightarrow \infty}(\sin x)^{2 n} \), then \( f \) is:
\( \mathrm{P} \)
(A) Continuous at \( x=\pi / 2 \)
W
(B) Discontinuous at \( x=\pi / 2 \)
(C) Discontinuous at \( x=-\pi / 2 \)
(D) Discontinuous at an infinite number of points


šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
šŸŒPW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-22The derivative of \( e^{\sin ^{-1}(x)} \) with respect to ' \( \sqrt{1-x^{2}} \), at \( x=1 \) i....
2024-01-22If \( y=x \sin x \) then the value of \( y^{i v}(0) \) is....
2024-01-22If \( y=(\sin x)^{\tan x} \), then \( \frac{d y}{d x} \) is equal to :....
2024-01-22If \( x=e^{t} \cos t \) and \( y=e^{t} \sin t \) then the value of \( \frac{d y}{d x} \) at \( t....
2024-01-22Let \( f(x)=\left|\begin{array}{ccc}x^{3} & 2 x^{2} & -x \\ 2 x & 1 & 0 \\ x & 0 & 3\end{array}\....
2024-01-22If \( y=1+x+\frac{x^{2}}{2 !}+\frac{x^{3}}{3 !}+\ldots .+\frac{x^{n}}{n !}+\ldots . . \infty \) ....
2024-01-22If \( y=\tan ^{-1}\left(\frac{x}{2}\right)+\sin ^{-1}\left(\frac{2}{\sqrt{4+x^{2}}}\right) \) th....
2024-01-22Derivative of ' \( y \) ' if \( y=\frac{1}{\sec x-\tan x} \)....
2024-01-22If \( f(x)=\left\{\begin{array}{cc}x^{2}\left(\frac{e^{1 / x}-e^{-1 / x}}{e^{1 / x}+e^{-1 / x}}\....
2024-01-22If \( \frac{d y}{d x}=\frac{d}{d x}\left(\frac{\sin ^{4} x+\sin ^{2} x+1}{\sin ^{2} x-\sin x+1}\....
2024-01-22Let \( f(x)=\lim _{n \rightarrow \infty}(\sin x)^{2 n} \), then \( f \) is:....
2024-01-22If \( 3 x^{2}-10 x y+5 y^{2}=0 \) then \( \frac{d y}{d x} \) is equal to :....
2024-01-22Statement-1: If \( f(x)=\frac{2}{\pi} \cot ^{-1}\left(\frac{3 x^{2}+1}{(x-1)(x-2)}\right) \), th....
2024-01-22The derivative of ' \( \sec ^{2} x \) ' with respect to ' \( \tan x \) ' is....
2024-01-22The number of points of non differentiability of the function \( f(x)=|\sin x|+\sin |x| \) in \(....
2024-01-22The derivative of an odd function is....
2024-01-22If \( y=x^{x^{2}} \), find \( \frac{d y}{d x} \)....
2024-01-22Let \( f^{\prime \prime}(x) \) be continuous at \( x=0 \) and \( f^{\prime \prime}(0)=4 \) then ....
2024-01-22Statement-1: \( \lim _{x \rightarrow \infty}\left(\frac{1}{x^{2}}+\frac{2}{x^{2}}+\frac{3}{x^{2}....
2024-01-22If \( \lim _{n \rightarrow \infty} \frac{n^{98}}{n^{x}-(n-1)^{x}}=\frac{1}{99} \), then the valu....
2024-01-22Consider \( f(x)=\frac{\sin x+a e^{x}+b e^{-x}+c \ln (1+x)}{x^{3}} \), where \( a, b, c \) are r....