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find the value of int_0^((pi)/(2))(dx)/(1+tan^(4)x)

lim_(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (b) 0 (c) 2 (d) none of these

("lim")_(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals to" (a)1 (b) 0 (c) 2 (d) none of these

lim_(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (b) 0 (c) 2 (d) none of these

Evaluate the following limits : Lim_(x to pi/4) (1- tan x)/(x - pi/4 )

lim_ (x rarr (pi) / (4)) (1-tan x) / (x- (pi) / (4))

f(x) = (1- tan x)/(4x-pi), x ne (pi)/(4) . If the function f(x), x in [0, (pi)/(2)) is continuous then find f((pi)/(4)) .

lim_(xto0) (x^(4)(cot^(4)x-cot^(2)x+1))/((tan^(4)x-tan^(2)x+1)) is equal to