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

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

lim_(x->0)(e^(2x)-1)/(3x)

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

lim_(x to 0)(e^(2x)-1)/(sin 3x) = ?

Evaluate: lim_(x rarr 0) (e^(2x)-1)/(sin3x)

lim_(x->0)(sin^2x)/x

Evaluate: lim_(x->0)(e^x-1-x)/(x^2)

If lim_(xto0) (f(x))/(sin^(2)x)=8,lim_(xto0) (g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(xto0) (1+2f(x))^((1)/(g(x)))=(1)/(e)," then" The value of lamda is

If lim_(xto0) (f(x))/(sin^(2)x)=8,lim_(xto0) (g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(xto0) (1+2f(x))^((1)/(g(x)))=(1)/(e)," then" The value of lamda is

lim_(x rarr0)(e^(x)-1-sin x-(tan^(2)x)/(2))/(x^(3))