7. Convergence. In the series below, a is a constant. Determine the values of a for...
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7. Convergence. In the series below, a is a constant. Determine the values of a for which the series converges. Hint: One series uses a comparison with two p-series (one for a<0 and one for a>0), one series uses the root test, and one series uses the ratio test. a) Σ n=1 n=1 n=1 a" n! (n+2)! 1+ n 1+nº VALUES OF a: VALUES OF a: VALUES OF a: 7. Convergence. In the series below, a is a constant. Determine the values of a for which the series converges. Hint: One series uses a comparison with two p-series (one for a<0 and one for a>0), one series uses the root test, and one series uses the ratio test. a) Σ n=1 n=1 n=1 a" n! (n+2)! 1+ n 1+nº VALUES OF a: VALUES OF a: VALUES OF a:
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