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# Limits of series and sequences watch

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1. Could someone please give me some guidance as to how to approach the following question.
I tried using the radius of converge as that was what my previous lecture was based on but that didn't seem to help.
Thanks
2. The sum of the series for exp x is obviously bigger than any single term (when x > 0). So pick a term that dominates x^n and squeeze.

Edit: to be clear, it doesn't have anything to do with radius of convergence - a simple comparison argument suffices.
3. (Original post by DFranklin)
The sum of the series for exp x is obviously bigger than any single term (when x > 0). So pick a term that dominates x^n and squeeze.

Edit: to be clear, it doesn't have anything to do with radius of convergence - a simple comparison argument suffices.
I considered doing this but surely for small values of n the summation isn't always higher then x^n?
4. (Original post by MissMathsxo)
I considered doing this but surely for small values of n the summation isn't always higher then x^n?
Oh I just realised that the sum is up to infinity. Never mind. Thankyou for your help

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Updated: December 7, 2018
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