Find the value of `f(0)` so that the function. `f(x)=(sqrt(1+x)-1+x3)/xb e com e scon t inuou sa tx=0`

The value of f(0) so that the function f(x) = (sqrt(1+x)-(1+x)^(1/3))/(x) becomes continuous is equal to

The value of f(0) so that the function f(x)=(1)/(x)-(1)/(sinx) is continuous at x = 0 is ________

Find the value of f(0) so that the function f(x)=1/8 (1-cos^2 x+sin^2 x)/[sqrt(x^2+1)-1], x ne 0 is continuous .

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

Find f(0) , so that f(x)=x/(1-sqrt(1-x)) becomes continuous at x=0 .

Show that f(x)={(sin3x)/(tan2x3/2,ifx=0),ifx 0i scon t inuou sa tx=0

Find the value of x where f(x)={x ,ifxi sr a t ion a l1-x ,ifxi si r r a t ion a li scon t inuou sdot

The value of c in Rolle's theorem for the function f(x)=(x(x+1))/(e^(x)) defined on [-1,0] is

Show that f(x)={(x-|x|)/(2),2 w h e nx!=0i sd i s con t inuou sa tx=0dotw h e nx=0