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If you solve this I'd award you with 500rep


Apr
5
revised How to understand Cauchy's proof of AM-GM inequality(the last step)
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Apr
5
revised How to understand Cauchy's proof of AM-GM inequality(the last step)
Formatting
Apr
4
comment How to understand Cauchy's proof of AM-GM inequality(the last step)
The proof you mention use this kind of induction.
Apr
4
revised How to understand Cauchy's proof of AM-GM inequality(the last step)
deleted 6 characters in body
Apr
4
answered How to understand Cauchy's proof of AM-GM inequality(the last step)
Apr
4
comment How to understand Cauchy's proof of AM-GM inequality(the last step)
That proof is different from the one OP is talking about.
Apr
4
comment How to understand Cauchy's proof of AM-GM inequality(the last step)
I used to know this...
Apr
4
awarded  Popular Question
Mar
27
revised Riemann-integrable functions and pointwise convergence
expanding on details
Mar
25
answered Riemann-integrable functions and pointwise convergence
Mar
25
comment Riemann-integrable functions and pointwise convergence
@DavidMitra yes, but as the problem is stated the limit function should be defined in all $[0,1]$. I see easier to construct a sequence which converges to a discontinuous function.
Mar
22
comment Rational roots of polynomials
And $D$? What does it mean / denotes?
Mar
22
comment To be proved that $\lim \limits_{n \to \infty} n^{\frac{1}{n}} = 1$
possible duplicate of How to show that $\lim_{n \to +\infty} n^{\frac{1}{n}} = 1$?
Mar
20
comment Question of the Outer measure of a set
What you can prove with what you thought is $$m^\ast(A)+\epsilon \gt \inf\{m^\ast(U) \mid U \text{ open and } A\subseteq U\}$$ for any epsilon, which implies your desired inequality
Mar
19
revised How prove this matrix limit is $\lim_{m\to\infty}A^mx=\left(\dfrac{e}{n}\right)$
edited title
Mar
18
revised Prove that a subset of a separable set is itself separable
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Mar
15
awarded  Yearling
Mar
14
revised Prove continuity of a function
formatting
Mar
14
answered Is mathematics a science?
Mar
12
revised What exactly are fractals
"in" missed