Which of the following functions) is/are discontinuous at `x =0 ?` `f(x)=sin(pi/(2x)),x != 0 and f(x)=1`

Function f(x)=x-|x| is discontinuous at x=0

For which of the following functions f(0) exists such that f(x) is continuous at x=0 f(x)=1/((log)_e|x|) b. f(x)=(cos((sin|x|)/x)) c. f(x)=x sin(pi/x) d. f(x)=1/(1+2^(cot x))

For which of the following functions f(0) exists such that f(x) is continuous at x=0 f(x)=1/((log)_e|x|) b. f(x)=(cos((sin|x|)/x)) c. f(x)=x sin(pi/x) d. f(x)=1/(1+2^(cot x))

Which of the following function (s) has removable type of discontinuity at x=0?f(x)=(1-sec^(2)2x)/(4x^(2))

For which of the following functions f(0) exists such that f(x) is continuous at x=0f(x)=(1)/((log_(e)|x|) b.f(x)=(cos((sin|x|)/(x))) c.f(x)=x sin((pi)/(x)) d.f(x)=(1)/(1+2^( cot x))

Which of the following function is not differentiable at x=0?f(x)=min{x,sin x}f(x)={[0,x>=0x^(2),x<0( c) f(x)=x^(2)sgn(x)

Which of the following functions f has a removable discontinuity at x=x_(0) ? If the discontinuity is removable, find a function g that agrees with f for xnex_(0) and is continuous on RR . f(x)=(x^(2)-2x-8)/(x+2),x_(0)=-2

Verify Rolle's theorem for each of the following functions on indicated intervals; f(x)=sin^(2)x on 0<=x<=pi f(x)=sin x+cos x-1 on [0,(pi)/(2)]f(x)=sin x-sin2x on [0,pi]

Which of the following f has removable discontinuity at x=x_0 ? If the discontinuity is removable, find a function g that agrees with f for x ne x_0 and is continuous on R. f(x)=(x^2-2x-8)/(x+2),x_0=-2