Use a Maclaurin series in this table (attached) toobtain the Maclaurin series for the given function. f(x)=5cos(frac{pi x}{8})

slaggingV

slaggingV

Answered question

2021-02-04

Use a Maclaurin series in this table (attached) toobtain the Maclaurin series for the given function.
f(x)=5cos(πx8)

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-02-05Added 108 answers

According to the given information, it is required to calculate the Maclaurin series of the given function.
f(x)=5cos(πx8)
By the given table maclaurin series of cos(x) is:
cos(x)=n=0(1)nx2n(2n)!=1x22!+x44!x66!+
In the given series replace x by (πx8):
cos(πx8)=n=0(1)n(πx8)2n(2n)!=1(πx8)22!+(πx8)44!(πx8)66!+
=n=0(1)nπ2nx2n82n(2n)!=1π2x2128+π4x498304π6x686(6!)+
5cos(πx8)=5n=0(1)nπ2nx2n82n(2n)!=5(1π2x2128+π4x498304π6x686(6!)+)

Do you have a similar question?

Recalculate according to your conditions!

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?