Stephanie B.

asked • 11/17/20

Find the limit of the sequence whose general term

Find the limit of the sequence whose general term is a sub n equals the quotient of the quantity 1 minus 3 times n and the quantity 4 plus n . (4 points)


 1 over 4

3

−3

Does not exist


1 Expert Answer

By:

Ryan G. answered • 11/17/20

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5 (5)

Ryan G. Dual Degree Mathematics & Philosophy

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Does rewriting an as (1/n - 3)/(4/n +1) help at all?

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Stephanie B.

I got the answer at 1/4... would that be correct?
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11/17/20

Ryan G.

tutor
No, not quite. When you rewrite it how I did, and let n become very large, what happens? You get something like this: (really small number -3)/(really small number +1). Do you see it? To be clear, by "really small number" we mean a number very close to 0.
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11/17/20

Stephanie B.

Would it be it doesn't exist?
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11/17/20

Stephanie B.

or -3?
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11/17/20

Marc D.

1/n and 4/n both go to zero. Its a good idea to remember that specific sequence. lim of 1/n as n goes to infinity is zero. Try plugging those into Ryans form above.
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11/17/20

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