$\lim \limits_{k \to \infty}\cos(kπ) + \sin(k(π/2))$ = undefined, so the series diverges.
How is this undefined? isn't undefined when you get 0/0?
How would I go about finding out what happens as k→∞
2026-03-26 14:25:13.1774535113
finding the limit of a series and testing for convergence.
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As $k \to \infty$, the cosine and the sine functions oscillate, so the limit does not exist.