- #1
BrownianMan
- 134
- 0
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
[tex]\left (1- \frac{1}{m} \right )^{n}> 1-\varepsilon [/tex]
How would I go about proving this? Would I just solve for m?
[tex]\left (1- \frac{1}{m} \right )^{n}> 1-\varepsilon [/tex]
How would I go about proving this? Would I just solve for m?