# 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 at 16:20
• Correct result, just in the image. – Ingix Dec 6 at 16:21
• Please type it. Don't give us the handwritten proofs. – jayant98 Dec 6 at 17:16
• @Ingix Yeah, which is kind of the problem with this question. – Did Dec 8 at 12:01
• Your homework asked you to prove that it is uniformly convergent? – norfair Dec 8 at 18:11

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