If \( f(x)=\left\{\begin{array}{cc}\frac{\sin \{\cos x\}}{x-\frac{\pi}{2}} & x \neq \frac{\pi}{2... VIDEO
If \( f(x)=\left\{\begin{array}{cc}\frac{\sin \{\cos x\}}{x-\frac{\pi}{2}} & x \neq \frac{\pi}{2} \\ 1 & x=\frac{\pi}{2}\end{array}\right. \), where \( \{k\} \) represents the fractional part of \( k \), then:https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-06-08 If \( \frac{f(x+y)}{x+y}-\frac{f(x-y)}{x-y}=4 x y \forall x, y, f(1)=2 \) so find \( f(2) \).
(a... 2023-06-08 Le t \( \quad y_{n}(x)=x^{2}+\frac{x^{2}}{1+x^{2}}+\frac{x^{2}}{\left(1+x^{2}\right)^{2}}+\ldots... 2023-06-08 If \( f(x)=\left\{\frac{|x+5|-2}{x^{2}+10 x+21}\right\},(x-2) \) then number of point of discont... 2023-06-08 If \( y=(\sin x)^{\left.(\sin x)^{(\sin x)}\right)^{\infty}} \), then \( \frac{d y}{d x}= \)
(a)... 2023-06-08 Number of points where \( f(x)=[\{x\}+|x+\sin x|] \operatorname{sgn}\left(x^{2}-1\right) \), \( ... 2023-06-08 At how many points in the interval \( (0,2): f(x)=x^{2}[2 x]-x\left[x^{2}\right] \) is discontin... 2023-06-08 If \( f(x)=\left\{\begin{array}{ll}x \frac{e^{\frac{1}{x}}-e^{\frac{-1}{x}}}{\frac{1}{x} e^{\fra... 2023-06-08 (a) An infinite discontinuity
(b) Finite discontinuity
(c) Oscillatory discontinuity
(d) A remov... 2023-06-08 Let \( f:(-\infty, \infty) \rightarrow(-\infty, \infty) \) be given by \( f(x)=x|x|+|x-1|- \) \(... 2023-06-08 Let \( f(x)=|| e^{x}-1|-1| \) then \( f(x) \) is differentiable at all points except at \( x=0 \... 2023-06-08 If \( f(x)=\left\{\begin{array}{cc}\frac{\sin \{\cos x\}}{x-\frac{\pi}{2}} & x \neq \frac{\pi}{2... 2023-06-08 If \( f(x)=\left(\frac{x}{2}\right)-1 \), then on the interval \( [0, \pi] \)
(a) \( \tan (f(x))... 2023-06-08 Let \( f(x)=\operatorname{sgn}(x) \) and \( h(x)=x\left(x^{2}-5 x+6\right) \). The function \( f... 2023-06-08 Let \( f(x)=1+4 x-x^{2} \) and \( g(x)=\left\{\begin{array}{l}\max \{f(t), x \leq t \leq x+1\}, ... 2023-06-08 If function \( f(x)=\frac{\sin x}{\sin \frac{1}{x}} \) is discontinuous at \( k \) points in \( ... 2023-06-08 Let \( f \) be a polynomial function such that \( f(3 x)=f^{\prime}(x) \cdot f^{\prime \prime}(x... 2023-06-08 The number of points of discontinuity of \( y=f(t) \), where \( f(t)=\frac{3}{2 t^{2}+5 t-3} \) ... 2023-06-08 A point \( (x, y) \), where function \( f(x)=[\sin [x]] \) in \( (0,2 \pi) \) is not continuous ... 2023-06-08 Let \( f(x)=-1+|x-2| \) and \( g(x)=1-|x| \) then set of all possible value(s) of \( x \) for wh... 2023-06-08 If \( y=\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right) \), then which of the following is false?
(a)... 2023-06-08 \( A B C \) is an isosceles triangle inscribed in a circle of radius \( r \). If \( A B=A C \) a...
0