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` .

Let f(x)={(1-cosx)/(x^2),\ \ \ w h e n\ x!=0 ; 1,\ \ \ \ w h e n\ x=0 . Show that f(x) is discontinuous at x=0 .

Find the values of k for which f(x)={(1-cos4x)/(8x^2),\ \ \ w h e n\ x!=0k ,\ \ \ w h e n\ x=0 is continuous at x=0 .

Let f(x)=(1-cosx)/(x^2),\ \ \ w h e n\ x!=0,\ f(x)=1,\ \ \ w h e n\ x=0 . Show that f(x) is discontinuous 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

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

If f(x)={(sin3x)/(x), when x!=01,quad when x=0. Find whether f(x) is continuous at x=0

Show that the function f(x)={x \ sin \ 1/x\ \ \ ,\ \ \ \ w h e n\ x!=0 \ \ \ \ \ \ \ 0, when \ \ \ x=0 is continuous but not differentiable at x=0 .

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