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- How to prove {sin(n)} is a bounded seuqence that does not converge?If fn converges point wise to f on a closed and bounded set then the convergence is uniform. Determine if true or false. Explain please.match each series to the test that should be used to test for convergence/divergence. While it is possible each test could apply to more than one series, in this excercise each is only used once. options: - nth term test - geometric series test - ratio test -alternating series test