How do you use a power series to find the exact value of the sum of the series 1-(pi/4)^2/(2!)+(pi/4)^4/(4!) -(pi/4)^6/(6!)+...

linnibell17591

linnibell17591

Answered question

2022-11-02

How do you use a power series to find the exact value of the sum of the series 1 ( π 4 ) 2 2 ! + ( π 4 ) 4 4 ! ( π 4 ) 6 6 ! +...?

Answer & Explanation

lesinetzgl5

lesinetzgl5

Beginner2022-11-03Added 18 answers

Since the Maclaurin series
1 x 2 2 ! + x 4 4 ! x 6 6 ! + . . . = cos x,
1 ( π 4 ) 2 2 ! + ( π 4 ) 4 4 ! ( π 4 ) 6 6 ! + . . . = cos ( π 4 ) = 1 2

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?