Question

Please see the question below:

Answer 1

Prove that for all sufficiently large n,
\[\frac{ (1+\log2) n}{ \log \frac{ n }{ 2 } } \le \frac{ 2n }{ \log n }\]

Answer 2

Can you maybe show that the limit as n approaches infinity of right(n)/left(n) is constant greater than zero. Or perhaps infinity.

Answer 3

Is that a hint or are you just asking?

Answer 4

is it (1+log 2)n or (1+log2)^n

Answer 5

it's (1+log 2)n

Answer 6

I know that for n >= 10, the inequality is satisfied. However, I don't know how to start the proof.