If a=\lim_{n \to \infty} \sum_{k=1}^{n} \frac{2 n}{n^2+k^2} and f(x)=\sqrt{\frac{1-\cos x}{1+\cos x}}, x \in(0,1), then : [26-Jul-2022-Shift-1]

Correct Answer is : √2f(a2)=f′(a2)

2 \sqrt{2} f(\frac{a}{2})=f^{'}(\frac{a}{2})

f(\frac{a}{2}) f^{'}(\frac{a}{2})=\sqrt{2}

\sqrt{2} f(\frac{a}{2})=f^{'}(\frac{a}{2})

f(\frac{a}{2})=\sqrt{2} f^{'}(\frac{a}{2})

Definite Integrals Part 2

Section: Mathematics

Question : 22 of 100

Marks: +1, -0

If a=

lim

n→∞

‌

∑

k=1

‌

n2+k2

and f(x)=√‌

1−cos‌x

1+cos‌x

,x∈(0,1), then :

[26-Jul-2022-Shift-1]

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