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Definite Integration question

2023 · 6 Apr · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 6 Apr · Shift 2 · Q32

Definite Integration question

2023 · 6 Apr · Shift 2 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\lim_{n \rightarrow \infty}\left\{\left(2^{\frac{1}{2}}-2^{\frac{1}{3}}\right)\left(2^{\frac{1}{2}}-2^{\frac{1}{5}}\right) \ldots . .\left(2^{\frac{1}{2}}-2^{\frac{1}{2 n+1}}\right)\right\}

is equal to :

A
$\sqrt{2}$
B
1
C
$\frac{1}{\sqrt{2}}$
D
0

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