Determine whether `f(x)={(sinx^2)/x\ \ \ ,\ \ \ x!=0 0\ \ \ ,\ \ \ x=0` is continuous at `x=0` or not.

f(x)={(2|x|+x^2)/x ,\ \ \ x!=0 ,\ \ \ and 0 at x=0 is continuous at x = 0 or not.

Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0,\ \x+1\ \ \ ,\ \ \ xgeq0 is everywhere continuous.

Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0\ \ \ \ \x+1\ \ \ ,\ \ \ xgeq0 is everywhere continuous.

If f(x)={e^(1//x),\ \ \ if\ x!=0 1,\ \ \ if\ x=0 . Find whether f is continuous at x=0

Show that the function f(x) given by f(x)={(sinx)/x+cosx ,\ \ x!=0 2,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=0 is continuous at x=0 .

Prove that f(x) = {sinx/x ; x != 0 and 1 ; x=0 . is continuous at x=0 .

If f(x) = (tan(x^(2)-x))/(x), x != 0 , is continuous at x = 0 , then f(0) is

f(x)={{:(sinx/x", " xne0),(k-1", " x=0):} is continuous at x = 0, then 'k' is :

If f(x)={e^((1)/(x)),1quad if x!=0 if x=0 Find whether f is continuous at x=0

If f(x) = (tan(x^(2)-x))/(x), x != 0 , is continuous at x = 0, then f(0)is