I have two limits and infinite series questions: (1) Given B find M such that when n > M then ...
i have two limits and infinite series questions:
(1) Given B find M such that when n > M then (n^n)/n! > B
(2) Given € > 0 find M such that when n > M then (n^n)/n! < €
Homework Answers
your first question is correct, but let me tell you
it is impossible to n>M always so that your 2nd hold, e.g if you
choose €=1/e then you never get such a natural number which
satisfies your inequality.you can find upper bound of n for this to
hold which will obviously depend upon € but not any lower bound M
of n.if you like this answer please rate it.
note that i have given a bound for n which can be found from wikipedia article about stirllings approximation.
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I have two limits and infinite series questions: (1) Given B find M such that when n > M then ...
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