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November 20th, 2013, 07:33 AM   #1
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Limit 2

Let be a convergent sequence. If , find .
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November 20th, 2013, 10:25 AM   #2
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Re: Limit 2

You can find the answers by assuming the sequence is constant. You should be able to turn this into a rigorous proof if you sprinkle in enough epsilons and deltas.

I get -1/2 and 1 as the answers FWIW. Probably the answer key only mentions the latter.
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November 22nd, 2013, 10:51 AM   #3
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Re: Limit 2

Quote:
Originally Posted by CRGreathouse
You can find the answers by assuming the sequence is constant. You should be able to turn this into a rigorous proof if you sprinkle in enough epsilons and deltas.

I get -1/2 and 1 as the answers FWIW. Probably the answer key only mentions the latter.
I get 1 as the answer. The limit of the function if the sequence converges to -1/2 is 1/6.
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November 23rd, 2013, 08:42 AM   #4
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Re: Limit 2

Any solution, please?
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