A function f(x) is defined as follows `f(x)={(sinx)/x , x!=0 and 2, x=0` is , f(x) continuous at `x = 0?` If not, redefine it so that it become continuous at `x = 0`.

A function f(x) is defined as follows f(x)={1+x, if x<0 and 0, if x=0 and x^(2)+1, if x<0 Is f(x) continuous at x=0? If not,what minimum correction should be made to make f(x) continuous a=0?

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

IF the function f(x) defined by f(x) = x sin ""(1)/(x) for x ne 0 =K for x =0 is continuous at x=0 , then k=

Is f defined by f(x) = {((sin 2x)/x, if x != 0),(1, if x = 0):} continuous at 0?

The function f(x)={sinx/x +cosx , x!=0 and f(x) =k at x=0 is continuous at x=0 then find the value of k

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

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

If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0 , is continuous at x = 0, then f(0) is