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

lim_(x rarr oo)(1)/(x^(2))

lim_(x rarr oo)(1)/(x^(2))

"lim_(x rarr oo)(1)/(x^(2))

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

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

lim_(x rarr oo)(x^(2))/(1+x^(2))

lim_(x rarr oo)((x+1)(x+2)(x+3)(x+4)^((1)/(4))-x)

Let f:R rarr R be a positive increasing function with lim_(x rarr oo)(f(3x))/(f(x))=1. Then lim_(x rarr oo)(f(2x))/(f(x))=(1)(2)/(3)(2)(3)/(2)(3)3(4)1

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

[lim_(x rarr oo)(1+(1)/(x^(2)))^(x)]