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

Evaluate: lim_(x rarr oo)[(x-1)/(x-2)]^x

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

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

The value of lim_(x rarr oo)(2x^((1)/(2))+3x^((1)/(3))+4x^((1)/(4))+......+nx^((1)/(n)))/((2x-3)^((1)/(2))+(2x-3)^((1)/(3))+......+(2x-3)^((1)/(n))) is equal to

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

Evaluate lim_(x rarr oo) (2x+3)/(x-5) .

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

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

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

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))=