" (i) "x=0

Examine the continuity of a function f(x)={{:(|x|"cos"(1)/(x)", if "x!=0),(0", if "x=0):} at x=0 .

Discuss the continuity of the function f(x)={:{((|x|)/(x)", if "x!=0),(0", if "x=0):}" at "x=0 .

f(x)= {:(tan(x^(2)-x)/x," if "x !=0),(=2 ," if " x=0):} at x=0, is

f(x) {:(=(x cosx+3tanx)/(x^(2)+sinx), " if "x!=0),(=4," if " x=0):}} at x = 0 ,is

At x = 0 f(x) {:(=cscx,"if "x!=0),(=1,"if " x=0):} is

If f(x) {:(=(1+kx)^(1//x)", if "x!= 0 ),(=e^(4)", if " x = 0 ):} is continuous at x = 0 , then k = …..

Show that the function f(x)={{:((sinx)/(x)+cosx", if "x!=0),(2", if "x=0):} is continuous at x=0 .

If f(x) {:( =(sin pix)/(5x)", if " x!=0),(=k ", if " x = 0 ):} is continuous at x = 0 , then : k =

If (x)={-x,x>0 and x,x<0=0,x=0 then test the continuity of f(x) at x=0

Show that the function f(x)={x^msin(1/x), x=0 ,0 ,\ \ \ x!=0 ,\ \ \ \ \ \ \x=0 is differentiable at x=0 , if m >1