Let `f(x)=|x|+|x-1|,` then (a)`f(x)` is continuous at `x=0,` as well at `x=1` (b)`f(x)` is continuous at `x=0,` but not at `x=1` (c)`f(x)` is continuous at `x=1,` but not at `x=0` (d)none of these

Show that f(x)=|x| is continuous at x=0

Let f(x) = sin"" 1/x, x ne 0 Then f(x) can be continuous at x =0

The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 (a)is continuous at x=0 (b)is not continuous at x=0 (c)is not continuous at x=0, but can be made continuous at x=0 (d) none of these

The function f(x)=sin^(-1)(cosx) is discontinuous at x=0 (b) continuous at x=0 (c) differentiable at x=0 (d) none of these

If f(x)={1/(1+e^(1//x)),\ \ \ \ x!=0 0,\ \ \ \ \ \ \ \ \ \ \ x=0 , then f(x) is continuous as well as differentiable at x=0 (b) continuous but not differentiable at x=0 (c) differentiable but not continuous at x=0 (d) none of these

If f(x)=|(log)_e|x|| , then (a) f(x) is continuous and differentiable for all x in its domain] (b) f(x) is continuous for all x in its domain but not differentiable at x=+-1 (c) f(x) is neither continuous nor differentiable at x=+-1 (d) none of these

Let f(x)=(lim)_(n rarr oo)sum_(r=0)^(n-1)x/((r x+1){(r+1)x+1}) . Then (A) f(x) is continuous but not differentiable at x=0 (B) f(x) is both continuous but not differentiable at x=0 (C) f(x) is neither continuous not differentiable at x=0 (D) f(x) is a periodic function.

If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to

If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to (a) 0 (b) 1/e (c) e (d) none of these

Let f(x) = (e^x x cosx-x log_e(1+x)-x)/x^2, x!=0. If f(x) is continuous at x = 0, then f(0) is equal to