Limits, Continuity and Differentiability

Section: Mathematics

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Question : 4 of 51

Marks: +1, -0

Let α and β be the real numbers such that

lim

x⟶0

‌

1

x3

(‌

α

2

‌

x

∫

0

‌

1

1−t2

‌dt+βx‌cos‌x)=2 Then the value of α+β is _____

[JEE Adv 2025 P1]

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