lim_(x-(pi/2)-)((pi)/(2)-x)^(tan x)

Evaluate the following limits: lim_(x rarr(pi)/(2))((pi)/(2)-x)tan x

Evaluate: (lim)_(x rarr(pi)/(2))((pi)/(2)-x)tan x

lim_(x rarr(pi)/(2))(((pi)/(2)-x)sin x-2cos x)/(((pi)/(2)-x)+cot x)

lim_(x=(pi)/(2))(sin x)^(tan x)

Evaluate the following limits: lim_(x rarr((pi)/(2)))tan x

lim_ (x rarr (pi) / (2)) (tan x) / (tan5x)

Evaluate : lim_(x to(pi)/(2))(tan 2 x)/( x - (pi)/(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):}

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((pi)/(2)))(1-sin x)tan x=