`Lim_(x->oo) (2x - 1)/(x + 2)`

lim_(x->oo) (x-sqrt(x^2-1))

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

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

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

Match the following : {:("Column-I" , " Column - II"), ("(A)" lim_(x to pi/4)(sin2x)^(tan^(2)2x), "(p)" 1/2),("(B)" lim_(x to oo) ((2x-1)/(2x+1))^(x) , "(q)"e^(-1/2)),("(C)" lim_(x to pi/2)(tanx)^(tan 2x) , "(r)" e^(-1)),("(D)" lim_(x to pi/4) tan2x tan(pi/4-x), "(s)" 1):}

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

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

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

lim_ (x rarr oo) (1-2x) / (x ^ (2)) =?

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