Math  /  Calculus

QuestionAssignment 4: Problem 11 (1 point)
Find T5(x)T_{5}(x), the degree 5 Taylor polynomial of the function f(x)=cos(x)f(x)=\cos (x) at a=0a=0. T5(x)=T_{5}(x)= \square Find all values of xx for which this approximation is within 0.004794 of the right answer. Assume for simplicity that we limit ourselves to x1|x| \leq 1. x|x| \leq \square \square
Note: You can earn partial credit on this problem.

Studdy Solution
Calculate the sixth root:
x<0.834 |x| < 0.834
The degree 5 Taylor polynomial is:
T5(x)=1x22+x424 T_5(x) = 1 - \frac{x^2}{2} + \frac{x^4}{24}
The values of x x for which the approximation is within 0.004794 are:
x0.834 |x| \leq 0.834

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord