n! Consider the series E=1 an = 2En=1" .Using the Ratio Test, we find that: %3D (2n+1)! The series diverges since The series converges since = 1 an+1 lim dn+1 = 2 lim n→+0 an n→+00 an the above the above The series diverges since The series converges since An+1 lim an+1 n-+0 an lim n→+00 an = 0 = + 0 the above the above

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