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Math Help - converges to zero prove

  1. #1
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    converges to zero prove

    I would appreciate some help with the following.
    For each of the following sequences state whether it converges to zero, and prove your answer. [A strategy is acceptable as a proof. proofs based on results from Calculus I or II are not acceptable.]
    a). a) x_n from n=1 to infinity, given by x_n=1/n! for all n.
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    Quote Originally Posted by charikaar View Post
    I would appreciate some help with the following.
    For each of the following sequences state whether it converges to zero, and prove your answer. [A strategy is acceptable as a proof. proofs based on results from Calculus I or II are not acceptable.]
    a). a) x_n from n=1 to infinity, given by x_n=1/n! for all n.
    Use the fact that 2^n < n! for n \ge 4 so \frac{1}{n!} < \frac{1}{2^n} .
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