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

Evaluate lim_(x-> 0) (tan3x-2x)/(3x- sin^2 x)

If (lim)_(x->a)(x^3-a^3)/(x-a)=(lim)_(x->1)(x^4-1)/(x-1) , find all possible value o adot

lim_(x -> oo) ((x-3)/(x+2))^x is equal to

lim_(x->0)((1^x+2^x+3^x+....+n^x)/n)^(1/x)

lim_(x->1)(x^4-3x^2+2)/(x^3-5x^2+3x+1)

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

Let a= lim_(x->0)ln(cos2x)/(3x^2), b=lim_(x->0)(sin^(2)2x)/(x(1-e^x)), c=lim_(x->1)(sqrt(x)-x)/lnx

lim_(xrarr1) [(x-2)/(x^(2)-x)-(1)/(x^(3)-3x^(2)+2x)]

Evaluate lim_(x->0^-) (x^2-3x+2)/(x^3-2x^2)

If lim_(x->oo) f(x) exists and is finite and nonzero and if lim_(x->oo) {f(x)+(3f(x)−1)/(f^2(x))}=3 ,then the value of lim_(x->oo) f(x) is