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) n 1 n 1 n 1 a n (n 2) 1 n 1 n VALUES OF a VALUES OF a VALUES OF a

Question: 7. Convergence. In the series below, a is a constant. Determine the values of a for which the series converges. Hint: One series uses

7. Convergence. In the series below, a is a constant. Determine the

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), one series uses the root test, and one series uses the ratio test. a) n=1 n=1 n=1 a" n! (n+2)! 1+ n 1+n VALUES OF a: VALUES OF a: VALUES OF a:

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