Radius and Interval of Convergence (Question ix) | Mathematics | Page 1

dire salmon Apr 7, 2024, 12:56 AM

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I am getting a difference answer from what the solution says. I am sure its soemthing simple but I can't seem to find it. I am also not sure if I did the tests correctly. Any help is appreciated 🙂

onyx havenBOT Apr 7, 2024, 12:56 AM

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tawny snow Apr 7, 2024, 12:57 AM

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dire salmon I am getting a difference answer from what the solution says. I am sure its soem...

x^n

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that's not part of the sequence

sudden badgeBOT Apr 7, 2024, 12:59 AM

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𝔸dωn𝓲²s

tawny snow Apr 7, 2024, 1:00 AM

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So you do the ratio test without the x^n

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Also when you do 2^n / 2^(n+1) then the 2 is left in the denominator, not numerator

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Then you would get |x| < 2

dire salmon Apr 7, 2024, 1:14 AM

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ah okay

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you're lowkey a weapon at calc 😭

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appreciate your help

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.close

onyx havenBOT Apr 7, 2024, 1:16 AM

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Solved

Post marked as solved by @dire salmon.

Use .unsolved if this was a mistake.

dire salmon Apr 7, 2024, 1:22 AM

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sorry another question

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i did the ratio test with 2 plugged in and got 1 after evaluating the limit

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which means the test was inconclusive

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how would i be able to say (-2,2) despite it being inconclusive

finite quest Apr 7, 2024, 1:36 AM

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dont use the ratio test twice, because you get the same result both times

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after you plug in 2 or -2, you need to use different tests to see if the series converges or diverges

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usually you can just do the divergence test

#Radius and Interval of Convergence (Question ix)