Consider the series Use the Ratio Test to show that this n2n n=1 |x|

Consider the series<br>Use the Ratio Test<br>to show that this<br>n2n<br>n=1<br>|x|<br>< 1 (so when |x| < 2 or –2 < x < 2). Does the power series<br>2<br>series converges when<br>converge at x =<br>2? What about at x = -2? (Note: the Ratio Test is inconclusive when<br>x = +2, so you will need to use another test for convergence to answer the question).<br>

Extracted text: Consider the series Use the Ratio Test to show that this n2n n=1 |x| < 1="" (so="" when="" |x|="">< 2="" or="" –2="">< x="">< 2).="" does="" the="" power="" series="" 2="" series="" converges="" when="" converge="" at="" x="2?" what="" about="" at="" x="-2?" (note:="" the="" ratio="" test="" is="" inconclusive="" when="" x="+2," so="" you="" will="" need="" to="" use="" another="" test="" for="" convergence="" to="" answer="" the="">

Jun 05, 2022

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Consider the series Use the Ratio Test to show that this n2n n=1 |x|

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