Differentiation

Section: Mathematics

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Question : 10 of 78

Marks: +1, -0

Let f:(−∞,∞)−{0}⟶R be a differentiable function such that f′(1)=

lim

a⟶∞

a2f(‌

1

a

). Then

lim

a⟶∞

‌

a(a+1)

2

tan−1(‌

1

a

)+a2−2logea is equal to

[6 Apr 2024 Shift 1]

‌
3
2
+‌
π
4
‌
3
8
+‌
π
4
‌
5
2
+‌
π
8
‌
3
4
+‌
π
8

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