So i've been doing some work on sequences lately and got stuck on this question (it has been attached as an image) I know that I have to use the nth term test for divergence but I am not sure of how to go about doing it any help is much appreciated! thank you
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Originally Posted by kaya2345 So i've been doing some work on sequences lately and got stuck on this question (it has been attached as an image) I know that I have to use the nth term test for divergence. You should know that Well
Alternatively, represent as and then prove that as using either Taylor series or L'Hopital's rule.
Hello, kaya2345! We are expected to know this definition: . . Prove that that the following series diverges: . Theorem: If the n^{th} term does not approach zero, the series diverges. We have: . Hence: . Therefore, the series diverges.
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