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 $(0,1)$
real-analysis analysis
edited Dec 8 at 18:05
Ingix
3,214145
asked Dec 6 at 16:19
nono
102
add a comment |
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 $(0,1)$
real-analysis analysis
edited Dec 8 at 18:05
Ingix
3,214145
asked Dec 6 at 16:19
nono
102
No personal input + Wrong result = ?
– Did
Dec 6 at 16:20
Correct result, just in the image.
– Ingix
Dec 6 at 16:21
3
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
add a comment |
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 $(0,1)$
real-analysis analysis
edited Dec 8 at 18:05
Ingix
3,214145
asked Dec 6 at 16:19
nono
102
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 $(0,1)$
real-analysis analysis
real-analysis analysis
edited Dec 8 at 18:05
Ingix
3,214145
asked Dec 6 at 16:19
nono
102
edited Dec 8 at 18:05
Ingix
3,214145
asked Dec 6 at 16:19
nono
102
edited Dec 8 at 18:05
Ingix
3,214145
edited Dec 8 at 18:05
Ingix
3,214145
edited Dec 8 at 18:05
Ingix
3,214145
3,214145
asked Dec 6 at 16:19
nono
102
asked Dec 6 at 16:19
nono
102
asked Dec 6 at 16:19
nono
102
102
No personal input + Wrong result = ?
– Did
Dec 6 at 16:20
Correct result, just in the image.
– Ingix
Dec 6 at 16:21
3
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
add a comment |
No personal input + Wrong result = ?
– Did
Dec 6 at 16:20
Correct result, just in the image.
– Ingix
Dec 6 at 16:21
3
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
No personal input + Wrong result = ?
– Did
Dec 6 at 16:20
No personal input + Wrong result = ?
– Did
Dec 6 at 16:20
Correct result, just in the image.
– Ingix
Dec 6 at 16:21
Correct result, just in the image.
– Ingix
Dec 6 at 16:21
3
3
Please type it. Don't give us the handwritten proofs.
– jayant98
Dec 6 at 17:16
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
@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 homework asked you to prove that it is uniformly convergent?
– norfair
Dec 8 at 18:11
add a comment |
1 Answer
1
active
oldest
votes
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.
answered Dec 8 at 18:17
Ingix
3,214145
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
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.
answered Dec 8 at 18:17
Ingix
3,214145
add a comment |
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.
answered Dec 8 at 18:17
Ingix
3,214145
add a comment |
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.
answered Dec 8 at 18:17
Ingix
3,214145
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.
answered Dec 8 at 18:17
Ingix
3,214145
answered Dec 8 at 18:17
Ingix
3,214145
answered Dec 8 at 18:17
Ingix
3,214145
answered Dec 8 at 18:17
Ingix
3,214145
3,214145
add a comment |
add a comment |
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No personal input + Wrong result = ?
– Did
Dec 6 at 16:20
Correct result, just in the image.
– Ingix
Dec 6 at 16:21
3
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