- #1

- 3

- 0

" Let Fn = x/(1+(n^2)(x^2)) where n=1,2,3,... show that Fn converges uniformly on (-infinity,infinity)"

To be honest, I don't even know where to start. Is this a series? How would I solve this. Would the Abel's test apply?

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- Thread starter Tacos
- Start date

- #1

- 3

- 0

" Let Fn = x/(1+(n^2)(x^2)) where n=1,2,3,... show that Fn converges uniformly on (-infinity,infinity)"

To be honest, I don't even know where to start. Is this a series? How would I solve this. Would the Abel's test apply?

- #2

- 288

- 1

[tex]lim\frac{F_{n+1}}{F_{n}}[/tex]

Take this limit for n approaches infinity and for n approach negative infinity

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