Discuss the continuity of `f(x)={1/(e^(x-1)),x!=1 0,x=1`

Discuss the continuity of f(x)=sgn(2cos x-1)

Discuss the continuity of f(x) = tan^(-1)x

Discuss the continuity of f(x)={|x|cos((1)/(x)),quad x!=00,quad x=0 at x=0

Discuss the continuity of f(x)={2x-1,quad x =0 at x=0

Discuss the continuity of f(x)=(log|x|)sgn(x^(2)-1),x!=0

Discuss the continuity of f(x)={(x-a)sin(1/(x-a)),\ \ \ x!=a\ \ \ \ \ \ \ \ \ \ \ \ 0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=a at x=a

Let f(x)={(1+3x)^((1)/(7)),x!=0e^(3),x=0 Discuss the continuity of f(x) at (a) x=0 (b) x=1

Discuss the continuity of f(x)=(|x+2|)/(tan^(-1)(x+2))

Discuss the continuity of f(x)={x^(2)sin((1)/(x)),quad x!=0quad 0,quad x= at x=0

Discuss the continuity of f(x)=|x|+|x-1| at x=0 and x=1.