`Lim _(x to pi/2) (tan5x)/(tanx)`

lim_( x to (pi/(2)) (tan2x)/(x-(pi)/(2))

Evaluate lim_(x to (pi)/(4)) (1 - tanx)/(x - (pi)/(4))

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):}

Evaluate the following : lim_(x to pi)(1+cosx)/(tan^(2)x)

Evaluate lim_(x to pi)((1+cosx)/(tan^(2)x)).

(i) lim_(x to 0) (a^(x) - 1)/(log_(a)(1 + x)), a gt 0 (ii) lim__(x to 0) (In (X + a)- In a)/(e^(2x) - 1) (ii) lim_(x to (pi)/(4)) (In(tanx))/(1 - cotx)

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

Evaluate the following limit (lim)_(x->pi/2)(sin x)^(tanx)

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