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Q#1
Calculus
GATE EC 2025
MCQ
+1 mark
-0.33 marks
Consider the following series:
(i) 
(ii) 
(iii) 
Choose the correct option.
Only (ii) converges
Only (ii) and (iii) converge
Only (iii) converges
All three converge
Explanation:
(i)
(where
)
By
-test, 
series is divergent.
(ii) 
series is convergent.
(iii) 
By ratio test, 
series is convergent.
Hence, option (b) is correct.
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