Mathematics: Use the power series representation of f(x)= to find a power series presentation of g(x)=

Use the power series representation of f(x)= to

Ответ:

NateOLit

03.01.2022

For

, we have

$\dfrac1{1-5x}=\displaystyle\sum_{n\ge0}(5x)^n$

and so

$g(x)=\dfrac{15}{1-5x}=15\displaystyle\sum_{n\ge0}(5x)^n=3\sum_{n\ge0}5^{n+1}x^n$

which is, again, only valid for |5x|

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Ответ:

DivineMemes420

26.01.2021

Mathematics

The answer is C or the third option

Step-by-step explanation:

I know it, I just don't know how to explain it. Sorry.

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Use the power series representation of f(x)= to find a power series presentation of g(x)=

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