`lim_(x rarr oo)(x^2+x-1)/(2x+5)`

lim_(x rarr oo)e^(-x)x^(2)

Evaluate the following limit: lim_(x rarr -5)(2x^2+9x-5)/(x+5)

lim_(xrarr oo)((x^2+4x-3)/(x^2-2x+5))^x is equal to

lim_(x rarr0)(2x^2-3x)/x

lim_(xrarr oo) ((3x^2+2x+1)/(x^2+x+2))^((6x+1)/(3x+1)) , is equal to

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

lim_(x rarr oo)(sqrt(x^(2)+x)-x)

lim_(x rarr oo)(log(1+x))/(x)

lim_(x rarr oo)((log x)/(x^(n)))

lim_(x rarr oo)((log x)/(x))^(1/x)