How to get the proper maclaurin series representation for cos x?

Elianna Lawrence

Elianna Lawrence

Answered question

2022-07-17

How to get the proper maclaurin series representation for cos x

Answer & Explanation

Marisa Colon

Marisa Colon

Beginner2022-07-18Added 18 answers

Maclaurin series are unique when they exists and the second one is
1 x + x 2 2
which is exp ( x ). But
cos ( x ) = 1 x 2 2 + x 4 4 !
For sure we allow terms when they are zero, but here those would it make much more complicate to write it in a closed form, thats why we don't write them.

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