Proving (1 + 1/n)^n ≤ 3?
This needs to be solved by the Binomial Theorem and probably requires induction to solve.
I've gotten the problem down to
n
∑ (n choose k) (1/n)^k ≤ 1
k=2
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This needs to be solved by the Binomial Theorem and probably requires induction to solve.
I've gotten the problem down to
n
∑ (n choose k) (1/n)^k ≤ 1
k=2
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Verified answer
sum[0,n] nCr / n^r
= sum[0,n] n/n * (n-1)/n * .. (n-r+1)/n * 1/r!
< sum[0,n] 1/r!
< e < 3