Let `f(x)={(e^x-1+ax)/x^2, x>0 and b, x=0 and sin(x/2)/x , x<0` , then

f(x)={(e^(x)-1+ax)/(x^(2)),x>0 and b,x=0 and (sin((x)/(2)))/(x),x<0

Let f(x)={(e^(ax)-e^(x)-x)/(x^(2)),x!=0 and (3)/(2),x=0 The value of a so that f is continuous function is

Let f(x)=x(x-1)(x-2) , x in [0,2] Find f(0) and f(2)

Prove that f(x)={(sin^(2)ax)/(1),x!=01 and 1,x=0 is not continuous at x=0

Let f(x)={[((e^(3x)-1))/(x),,x!=0],[3,,x=0]} then 2f'(0) is

Let f (x) =(ax+b)/(x+1), lim_(x rarr 0)f(x)=2 and lim_(x to oo)f(x)=1 , Prove that f (- 2) = 0.

Let f(x)=((e^(kx)-1)*sin Kx)/(x^(2)) for x!=0;=4, for x=0 is continuous at x=0 then k

Let f(x)={(sin ax^(2))/(x^(2));x!=0 and (3)/(4)+(1)/(4a);x=0 For what value of a,f(x) is continuous at x=0?

If f(x) is continuous at x=0 , where f(x)=((e^(3x)-1)sin x)/(x^(2)) , for x!=0 , then f(0)=