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Pointwise convergence of (x^n)/(1 + x^n)
Yes! It becomes 1 / ( 1/(x^n) + 1), which goes to 1 / (0+1) = 1. Thank you so much :)- youko.shi
- Post #3
- Forum: Calculus and Beyond Homework Help
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Pointwise convergence of (x^n)/(1 + x^n)
Homework Statement Find the function that (x^n)/(1 + x^n) converges to as n goes to infinity, on the interval [0,2] Homework Equations The Attempt at a Solution I've worked out the fact that on the interval [0,1) it converges to 0, and when x is 1 it converges to 1/2, but for the...- youko.shi
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- Convergence
- Replies: 2
- Forum: Calculus and Beyond Homework Help