EC > GATE 2026 > Series Convergence
Consider the two series, SA and SB, where
SA = Σn=1 n2/2n
SB = 1 + 1/2 + 1/8 + 1/16 + 1/64 + 1/128 + 1/512 + ⋯
Which of the following statements is correct for the two given series?
A
Both SA and SB converge.
B
Neither SA nor SB converges.
C
SA converges but SB does not converge.
D
SB converges but SA does not converge.

Correct :

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