If `f(x)=(x+1)^(cotx)` be continuous at `x=0,` the `f(0)` is equal to `0` (b) `1/e` (c) `e` (d) `non eoft h e s e`

If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to (a) 0 (b) 1/e (c) e (d) none of these

If f(x)=(x+1)^(cot x) be continuous at x=0, the f(0) is equal to 0( b) (1)/(e)(c)e(d) none of these

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) =

1.If lim_(x rarr0)(f(x))/(x) exists and f(0)=0 then f(x) is (a) continuous at x=0 (b) discontinuous at x=0 (e) continuous no where (d) None of these

Let f(x) = (e^x x cosx-x log_e(1+x)-x)/x^2, x!=0. If f(x) is continuous at x = 0, then f(0) is equal to

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

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

The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 (a)is continuous at x=0 (b)is not continuous at x=0 (c)is not continuous at x=0, but can be made continuous at x=0 (d) none of these