how to show limit diverges | Mathematics | Page 1

onyx sierra Oct 8, 2022, 10:33 AM

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$\lim_{n\to \infty} \frac{3^n}{2^n+n^2}$

fervent basinBOT Oct 8, 2022, 10:33 AM

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Daniel_The_Maniel

wise compass Oct 8, 2022, 11:02 AM

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I think it's unbounded

visual summit Oct 8, 2022, 1:09 PM

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inf/inf. You could use L'Hôpital.

crimson plank Oct 9, 2022, 8:19 AM

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@onyx sierra is the ans infinity?

onyx sierra Oct 9, 2022, 8:56 AM

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Yes 🤦‍♂️

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I said that in the title I just want to know how you’d show that

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Techie answered my question tho

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\close

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/close

crimson plank Oct 9, 2022, 9:08 AM

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Oh just simply divide numerator and denominator by 3^n

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U will get 1/[(2/3)^n+(n^2/3^n)]

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As 2/3 is a fractional no

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It's (^n) tending to infinity becomes zero

#how to show limit diverges