Power series question

  • Thread starter cue928
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  • #1
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For the following power series: n=1 to infinity [(5^n)(x-2)^n]/8n^7
I used the ratio test, which I understand, but why does the book say it is convergent for
5|x-2|<7? I had 5|x-2|<1, but I don't understand why it would say 7?
 

Answers and Replies

  • #2
Dick
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It would be 5|x-2|<7 if it were 7^n in the denominator instead of x^7. Probably a typo in either the question or the answer.
 

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