Let d n 1 n e n ( a ) Does the sequence d n n 0 converge or diverge ( b ) Does the series n 0 d n converge or diverge

Question

Let d n   1   n e   n ( a ) Does the sequence   d n   n   0 converge or diverge  ( b ) Does the series n   0 d n converge or diverge

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Let d n = 1 + n e - n ( a ) Does the sequence { d n } n = 0 converge or