The function `f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0, at x=0 ,f(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

Let f(x) = (e^(1//x))/(1+e^(1//x)) for x ne 0 . Find f (0) if f is left continuous at x = 0

Let f(x)={(xsin(1/x), x ne 0),(k, x=0):} find k if f is continuous at x=0,

If f(x) = {((tan3x)/(x),,, x!=0,),(4k,,,x,=0):} is continuous at x=0' then K=

Examine the function f(X) = {:{((1-cos3x)/(x), x ne 0),(0,x=0):} for continuity at x = 0

Let f(x) = (log(1+x))/(sinx) for x ne 0 . Find f(0) if f is continuous at x = 0

if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):} a. f is continuous at x = 0 b. f is continuous at x = 0 but not differentiable at x = 0 c. f is differentiable at x = 0 d. f is not continuous at x = 0

f(x) = {((sin x)/(x),,x,ne,0),(k-1,,x,=,0):} is continuous at x = 0, then k is :

Let f(x) = {:{((1-cosax)/(xsinx), x ne 0),(1/2, if x = 0):} If f is continuous at x=0, find a.