# Prove $f_n(x) = \frac{1}{1+x^n}$ converges uniformly on $(0,1)$

I am not sure that this correct, please give some feedback and help. Real analysis: the sequence of functions

Prove $$f_n(x) = \frac{1}{1+x^n}$$ converges uniformly on $$(0,1)$$ • No personal input + Wrong result = ? – Did Dec 6 '18 at 16:20
• Correct result, just in the image. – Ingix Dec 6 '18 at 16:21
• Please type it. Don't give us the handwritten proofs. – jayant98 Dec 6 '18 at 17:16
• @Ingix Yeah, which is kind of the problem with this question. – Did Dec 8 '18 at 12:01
• Your homework asked you to prove that it is uniformly convergent? – zoidberg Dec 8 '18 at 18:11

## 1 Answer

Your calculations are correct and prove that $$f_n$$ does not converge uniformly to the limit $$f=1$$.

As you can see from the remarks on your question, people vastly prefer that formulas are given with MathJax instead of a photo of hand written notices. This has the advantage that it can be scaled as necessary by any viewer, and is generally very easy to read (your notes are very legible, but that is not true for every contributor). Find a tutorial here, which covers 95% of things I need.