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

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->oo)2^xsin(a/2^x)

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

lim_(x -> oo) ((x-3)/(x+2))^x is equal to

(lim)_(x->oo)(sqrt(x^2-1))/(2x+1) is equal to a. 0 b . -1 c. 1//2 d. 1

The value of lim_(x->oo)(((x-1)(x-2)(x+3)(x+10)(x+15))^(1/5)-x) is ....

Evaluate the following limit: (lim)_(x->oo)((3x-1)(4x-2))/((x+8)(x-1))

lim_(x->oo) xsin(2/x)

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

Lim_(x->oo) ((x/(x+1))^a + sin (1/x))^x is equal to