Khadija Wells

2021-02-01

Represent the function $3\mathrm{ln}(8-x)$ as a power series

What is the radius of convergence?

yunitsiL

Skilled2021-02-02Added 108 answers

To write the function

From the standard power series, the Maclaurin series of

Here,

|x|<1 is its radius of converhence

Rewrite the function as shown below

Now,

Use it above

This is the required power series and the radius of convergence is 8 (from

Answer:

Power series:

The radius of convergence is 8.

Jeffrey Jordon

Expert2021-12-16Added 2605 answers

Answer is given below (on video)

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