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" 2.) "(x rarr(pi)/(2))(sin x)^(tan x)=...

" 2.) "_(x rarr(pi)/(2))(sin x)^(tan x)=

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

lim_ (x rarr (pi) / (2)) {(1-sin x) tan x}

lim_(x rarr pi/2)(sec x - tan x)=

lim_ (x rarr (pi) / (2)) (sec x-tan x)

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

lim_ (x rarr (pi) / (4)) (tan x) ^ (tan2x)

lim_(x rarr(pi+)/(2))((cos(tan^(-1)(tan x)))/(x-(pi)/(2)))

lim_ (x rarr (pi) / (2)) (sin2x) / (cos x)

The value of lim_(x rarr(pi)/(2))({1-(tan x)/(2)}{1-sin x})/({1+(tan x)/(2)}(x-2x)^(3)) equals

lim_ (x rarr (pi) / (2)) (tan x) ^ (cos x)