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Limits Continuity and Differentiability question

2025 · 22 Jan · Shift 1 · Q44

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 22 Jan · Shift 1 · Q44

Limits Continuity and Differentiability question

2025 · 22 Jan · Shift 1 · Q44

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

\sum_{r=1}^n T_r=\frac{(2 n-1)(2 n+1)(2 n+3)(2 n+5)}{64}

, then

\lim_{n \rightarrow \infty} \sum_{r=1}^n\left(\frac{1}{T_r}\right)

is equal to :

A
$\frac{2}{3}$
B
$\frac{1}{3}$
C
1
D
0

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