GATE EC 2014 Set 4 — Question 11
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Engineering Mathematics → Calculus → Sequences, Series & Convergence
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Question
The series converges to
Correct answer
(D) e
Solution
The given series is .
This is the Maclaurin series expansion for evaluated at .
The Maclaurin series for is .
Substituting , we get .
Therefore, the series converges to .The final answer is .
This is the Maclaurin series expansion for evaluated at .
The Maclaurin series for is .
Substituting , we get .
Therefore, the series converges to .The final answer is .
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