How to calculate <munderover> &#x2211;<!-- ∑ --> <mrow class="MJX-TeXAtom-ORD"> k

Denisse Valdez

Denisse Valdez

Answered question

2022-05-20

How to calculate k = 0 n a k sin ( k x )?

Answer & Explanation

Porter Cohen

Porter Cohen

Beginner2022-05-21Added 7 answers

Hint. We assume a , x R . Then one may write
k = 0 n a k sin ( k x ) = Im k = 0 n ( a e i x ) k = Im 1 ( a e i x ) n + 1 1 a e i x
where we have used the standard evaluation of a geometric sum.

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