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

lim_(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

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

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

Evaluate: lim_(x->oo)((x^2+x-1)/(3x^2+2x+4))^((3x^2+x)/(x-2))

Find the value of lim_(x->oo)(2-1/x+4/x^2)

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).

lim_(x->oo)sin(1/x)/(1/x)

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):}