# Binomial quotient limit

Algebra Level 5

$\Large {\lim_{n \to \infty}} {\dfrac{\displaystyle{\large\displaystyle \sum^{n}_{k=0}\dbinom{n}{k}}}{\large\displaystyle \sum^{n/m}_{k=0}\dbinom{n}{mk}}}$

If $$n$$ is a multiple of some positive integer $$m$$, find the limit above.

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