`lim_(x→0) (√(x+1)−1)/x`

(lim)_(x->0)((x+1)^5-1)/x

lim_(x->0) ((1+x)^(1/x)-e)/x is equal to

lim_(x to 0) (2^(x) - 1)/(sqrt(1 + x) - 1) =

lim_(xto0)((e^(x)-1)/x)^(1//x)

Evaluate lim_(x to 0) (2^(x)-1)/((1+x)^(1//2)-1)

The value of lim_(xrarr0) (x(5^x-1))/(1-cos x) , is

Suppose |[f'(x),f(x)],[f''(x),f'(x)]|=0 is continuously differentiable function with f^(prime)(x)!=0 and satisfies f(0)=1 and f'(0)=2 then (lim)_(x->0)(f(x)-1)/x is 1//2 b. 1 c. 2 d. 0

If lim_(xto0) [1+x+(f(x))/(x)]^(1//x)=e^(3) , then the value of ln(lim_(xto0) [1+(f(x))/(x)]^(1//x)) is _________.

lim_(x->0) (Cosx -1)/x is equal to

Evaluate: lim_(x->0)(e-(1+x)^(1/x))/x