MA 114 Worksheet 7 Power Series Answer Key with Full Solutions

Confirm each result by checking the radius limits first, then test interval behavior at both endpoints before finalizing conclusions. This order prevents sign errors and incorrect convergence claims.

The material below presents worked solutions for Assignment 7 from the MA calculus course, focused on infinite expansions of functions. Each task shows ratio and comparison testing, endpoint substitution, and clear notation for convergence ranges.

When reviewing your work, compare coefficient patterns and factorial growth carefully. Many mistakes come from missing index shifts or incorrect exponent alignment, which are fully displayed in the solved examples.

For exam preparation, redo problems without notes and verify results against the stepwise reasoning shown here. This approach improves accuracy with convergence checks and functional expansion methods.