# Taylor Polynomials and Comparison Tests for Convergence (4 Problems)

Not what you're looking for? Search our solutions OR ask your own Custom question.

1. Find the 3rd-degree Taylor polynomial for f(x) = 1/(2+x) at a = 1.

2. Comparison Test let .

3. Comparison Limit let .

4. Comparison Test .

Please see the attached file for the fully formatted problems.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:18 pm ad1c9bdddfhttps://brainmass.com/math/real-analysis/taylor-polynomials-comparison-tests-convergence-39452

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

1. Find the 3rd-degree Taylor polynomial for at

Solution. We use an expansion , when |x|<1,

So, substituting x by -(x-1)/3, we get

...

#### Solution Summary

Taylor Polynomials and Comparison Tests for Convergence are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

$2.49