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Power Series

Infinite polynomials with a radius of trust · BC Calculus · greeting

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Owl · Mock interview — Power Series. I ask; you answer.

Owl · We'll find R with the ratio test, test endpoints, and remember: power series do not converge everywhere by default, and skipping endpoints is a classic miss.

Larry’s gold answer — Show text to read it out loud.

Larry · gold answer · For Σ xⁿ/n!, I'd use the ratio test on |a_{n+1}/aₙ| and expect the limit to involve |x|, then solve for when that is less than 1.

Owl: We'll find R with the ratio test, test endpoints, and remember: power series do not converge everywhere by default, and skipping endpoints is a classic miss.

You: —