Open Question: Determine whether the series is convergent or divergent?
basically on the interval 1 to infinity the constant '9' really has no bearing because it becomes a non-factor. So the problem reduces to (k/k^2)
k/k^2 reduces to 1/k
as the limit approaches infinity you get 1/2,1/3,1/4,1/5.....1/x so you see the number is getting smaller and smaller, thus the limit approaches 0. Since the series approaches a finite number the series converges. If it went to infinity it would diverge.
15:12 |
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Open Question: Show the sequence fn(x) = (1/n)e^-nx^2, x an element of R, n>=1 convergent/uniformly convergent?
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20:29 |
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Open Question: Show the sequence fn(x) = (sinx)1/n x, x an element of [0,pi], n>=1 convergent/uniformly convergent?
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18:11 |
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