How would I sum this <munderover> &#x2211;<!-- ∑ --> <mrow class="MJX-TeXAtom-ORD">

Shayla Osborne

Shayla Osborne

Answered question

2022-06-04

How would I sum this k = 0 ( 1 ) k cos ( x + 2 k y ) ( 2 k + 1 ) ! ?

Answer & Explanation

Adrianna Barnes

Adrianna Barnes

Beginner2022-06-05Added 3 answers

( 1 ) k cos ( x + 2 k y ) ( 2 k + 1 ) !
is the Real part of
= i 2 k e i ( x + 2 k y ) ( 2 k + 1 ) ! = e i x i e i y ( i e i y ) 2 k + 1 ( 2 k + 1 ) !
Now
2 k = 0 a 2 k + 1 ( 2 k + 1 ) ! = e a e a

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