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" 25."lim(x rarr pi/4)(sec^(2)x-2)/(tan ...

" 25."lim_(x rarr pi/4)(sec^(2)x-2)/(tan x-1)

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If alpha = lim_(x rarr pi//4)""(tan^(3)x - tan x)/(cos (x + (pi)/(4))) and beta = lim_(x rarr 0)(cos x)^(cot x) are the roots of the equation, a x^(2) + bx -4 = 0 , then the ordered pair (a, b) is :