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

lim_ (x rarr oo) (2x) ^ (3x) =

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 find the value of lim_(x->oo) f(x)

Evaluate the following: lim_(xtoinfty)(x^3+2x^2+3)/(x^4-3x^2+1)

lim_(x rarr oo)(2x+1)/(3x-2)

Evaluate the following Limits lim_(xto oo)(2x^(8)-3x^(2)+1)/(x^(8)+6x^(5)-7)

Evaluate the following limits : Lim_(x to oo) (x^(3)+6x^(2)+1)/(x^(4)+3)

Evaluate: lim_(xto oo)(2x^(2)-2x-sin^(2)x)/(3x^(2)-4x+cos^(2)x)

Evaluate: lim_(xto oo)(2x^(2)-2x-sin^(2)x)/(3x^(2)-4x+cos^(2)x)

Evaluate the following limits : lim_(x to oo) (2x^(2)+7x+5)/(4x^(2)+3x-1)