Question: Show that the series k = 1 ( 1 ) k 1 ke k is convergent. How many terms of the series do we need

Show that the series
k=1
(1)k1kek is convergent. How many terms of the series do we need
to add in order to find the sum to within 0.01 of its true value (i.e. so that error<0.01).

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