EC > GATE 2025 > Series Convergence

Contributed by: Dr. Sarah Chen

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Consider the following series:
(i) Σ_n=1^∞ 1/√n
(ii) Σ_n=1^∞ 1/(n(n+1))
(iii) Σ_n=1^∞ 1/n!
Choose the correct option.

A

Only (ii) converges

B

Only (ii) and (iii) converge

C

Only (iii) converges

D

All three converge

Check Answer

Explanation

Correct : b

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