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Example Question #81 :Calculus Ii — Integrals
Give theterm of the Maclaurin series of the function
Possible Answers:
Correct answer:
Explanation:
Theterm of the Maclaurin series of a functionhas coefficient
The second derivative ofcan be found as follows:
The coeficient ofin the Maclaurin series is therefore
Example Question #2 :Series In Calculus
Give theterm of the Taylor series expansion of the function关于.
Possible Answers:
Correct answer:
Explanation:
Theterm of a Taylor series expansion aboutis
.
We can findby differentiating twice in succession:
so theterm is
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