Let n ≥ 1 be an integer and ε > 0 a real number. Without making reference or use of nth roots, prove that there exists a positive integer m such that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\left (1- \frac{1}{m} \right )^{n}> 1-\varepsilon [/tex]

How would I go about proving this? Would I just solve for m?

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# Real Analysis question

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