`lim_(x->o)(1+(2x)/3)^(3/(2x))`

Evaluate the limit: lim_(x->1)((2x-3)(sqrt(x)-1))/(2x^2)

the value of lim_(x->0){(cosx)^(1/(sin^2x))+(sin2x+2tan^-13x+3x^2)/(ln(1+3x+sin^2x)+xe^x)}

lim_(x->oo){(1^2)/(1-x^3)+3/(1+x^2)+(5^2)/(1-x^3)+7/(1+x^2)+....) is equal to

lim_(x to 0)(3^(2x)-2^(3x))/(x) is equal to

Evaluate the following limit: (lim)_(x->1)((2x-3)(sqrt(x)-1))/(3x^2+3x-6)

lim_(x to 0) (2x)/(tan3x)=?

Evaluate lim_(xto1) ((2x-3)(sqrt(x)-1))/(2x^(2)+x-3).

The value of lim_(xto2) (2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))" is "

lim_(x to 0) ((2x-3)(3x-4))/((4x-5)(5x -6))

Evaluate, lim_(x to 1) (x^(4)-1)/(x-1)=lim_(x to k) (x^(3)-k^(3))/(x^(2)-k^(2)) , then find the value of k.