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

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

If f(x)={e^(1/x),quad if quad x!=01,quad if x=0 Find whether f is continuous at x=0

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

If f(x)={(sin3x)/x,w h e nx!=0 1,w h e nx=0dot Find whether f(x) is continuous at x=0

If f(x)=(sin3x)/x,w h e nx!=0, f(x)= 1,w h e n x=0 Find whether f(x) is continuous at x=0

f(x)=[(cos x)cot^2x!=0e^(-1//2)\ if\ x=0 find whether the f(x) is continuous at x=0 or not.

Determine if f defined by f(x)={x^2sin(1/x) , ifx!=0, 0 ifx=0 is a continuous function?

If f(x)={(sin3x)/x ,\ \ \ w h e n\ x!=0 1,\ \ \ w h e n\ x=0 . Find whether f(x) is continuous at x=0 .

A function f(x) is defined as f(x)={(x^2 -x-6)/(x-3);ifx!=3 and 5ifx=3 Show that f(x) is continuous at x=3.

Determine if f defined by f(x)={{:(x^2 sin(1/x) , ifx!=0),( 0, ifx=0):} is a continuous function?