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" 5."lim(x rarr(pi)/(2))(x tan x-(pi)/(2...

" 5."lim_(x rarr(pi)/(2))(x tan x-(pi)/(2)sec x)

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lim_(x rarr(pi)/(2))[x tan x-((pi)/(2))sec x] is equal to

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

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

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

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

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