How do you find a power series representation for #(x-2)^n/(n^2) # and what is the radius of convergence?
Suppose that our quest is for
In this case a variable change
In the next steps we will try to build such a power series.
We begin with
This power series is convergent for
now integrating The last step is covered by integrating or equivalently The description of function PolyLog can be found in https://tutor.hix.ai
The convergence interval in The attached figure shows the agreement between
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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