`lim_(x to 0) (e^(x/2)-1)/x`

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

Let lim_(x to 0) ("sin" 2X)/(tan ((x)/(2))) = L, and lim_(x to 0) (e^(2x) - 1)/(x) = L_(2) then the value of L_(1)L_(2) is

Evaluate the following limits : Lim_(x to 0) (e^(x^(2))-1)/(sin^2 x)

Statement-1 : lim_(x to 0) (1 - cos x)/(x(2^(x) - 1)) = (1)/(2) log_(2) e . Statement : lim_(x to 0) ("sin" x)/(x) = 1 , lim_(x to 0) (a^(x) - 1)/(x) = log a, a gt 0

Evaluate : lim_(x to 0) (e^(cos x)-1)/(cos x)

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).

(i) lim_(x to 0) (a^(x) - 1)/(log_(a)(1 + x)), a gt 0 (ii) lim__(x to 0) (In (X + a)- In a)/(e^(2x) - 1) (ii) lim_(x to (pi)/(4)) (In(tanx))/(1 - cotx)

Evaluate the following limits : Lim_(x to 0) (x(e^(x)-1))/(1-cos 2x)

Evaluate : lim_(x to 0) (e^(x) -e^(x))/x

Use the formula Lim_(xto 0) (a^(x)-1)/x = log_(e)a " to find " Lim_(xto0) (2^(x)-1)/((1+x)^(1//2)-1)