Use the ratio test to determine the convergence or divergence of the series 8 Σ 2cosh(n) - 2 n=0 (a) Evaluate lim,→∞ (an). Does this limit tell you anything about whether S converges or diverges? an = and S = an. -n (b) Use the fact that e ≥ 1 − n + ½ n² − — n³ for all integers n to show that a„ ≤ (c) Hence, determine if S converges or diverges. n²

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