Let f(x) be a differentiable function such that f(0)=0 and f^{'}(0)=20. For x \in(0, \frac{\pi}{2}], if A(x)=2 f(x) cosec 4 x+4 f(x)(\cos ^2 x+1)-4 \cos ^2 x then \lim_{x \to 0} A(x)=

TS EAMCET 20-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 67 of 160

Marks: +1, -0

Let f(x) be a differentiable function such that f(0)=0 and f′(0)=20. For x∈(0,‌

], if A(x)=2f(x)cosec4x+4f(x)(cos2x+1)−4cos2x then

lim

x→0

A(x)=

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