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

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

Discuss the continuity of f(x)={(x^2)/(|x|),x!=0 0,x=0

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

Let f(x) be a function defined as f(x)={(x^2-1)/(x^2-2|x-1|-1),x!=1 1/2,x=1 Discuss the continuity of the function at x=1.

Discuss the continuity of the function f given by f(x)= |x|" at "x=0 .

If f(x)={x-2, x le 0 and 4-x^2,x > 0, then discuss the continuity of y=f(f(x)).

If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity of f(x),g(x),a n dfog(x)dot

Let f(x)={:{(x+1,x gt 0),(x-1,x lt 0):}

Discuss the continuity of the function f given by f(x)= x^(3)+x^(2)-1 .

Let f(x+(1)/(x) ) =x^2 +(1)/(x^2) , x ne 0, then f(x) =?