Let Find (where [S] denotes the greatest integer less than or equal to S)
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Originally Posted by pankaj Let Find (where [S] denotes the greatest integer less than or equal to S) the answer is the reason is the following inequality, which can be easily proved by either induction or routine calculus methods:
nevermind I bounded it by the wrong integral
Use these inequalities: for
Originally Posted by NonCommAlg the answer is the reason is the following inequality, which can be easily proved by either induction or routine calculus methods: How do we prove by calculus
you can actually prove that inequality by using calculus, thus, the rest follows.
Actually I did it like this: Similarly, But how to do with Calculus
for each is lower bound: upper bound: and we're done.
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