anonymous
  • anonymous
For the following power series determine the interval of convergence S = (3x^2 ÷ 4 • 7) +( 5x^4 ÷ 7 • 9) + (7x^6 ÷10 • 11) + . . .
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Is it 3x^2/(4*7) OR (3x^2/4)*7?
anonymous
  • anonymous
Hello?!
anonymous
  • anonymous
it is 3x^2/(4*7) AnwarA, I'm sorry i was doing other problems. I'll be waiting my friend

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anonymous
  • anonymous
Do you know how to use the ratio test?!
anonymous
  • anonymous
Yes i know the basics like convergence and divergence based on the value 1
anonymous
  • anonymous
Let me help you first with writing the series in its standard from; \[{3x^2 \over 4(7)}+{5x^4 \over 7(9)}+{7x^6 \over 10(11)}+...=\sum_{n=1}^{\infty}{(2n+1)x^{2n} \over (3n+1)(2n+5)}\]
anonymous
  • anonymous
That's good. Now do the test, and find the limit. Tell me what you get!
anonymous
  • anonymous
Ok, i'm working on it now
anonymous
  • anonymous
all the terms cancell out and i am left with 1 which i added to Un and therfore test fails
anonymous
  • anonymous
Well, actually you will be left with |x|. Then your interval of convergence should be |x|<1. That's -1

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