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anonymous
 5 years ago
hi, im looking for some help on finding a power series f(x)=1/4x6 centered a c=1
anonymous
 5 years ago
hi, im looking for some help on finding a power series f(x)=1/4x6 centered a c=1

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just a variable, thats where im actually lost

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not exactly sure how to apply it to the equation, i have some examples but i cant math the answer on th review

apples
 5 years ago
Best ResponseYou've already chosen the best response.1Do you mean \[\frac{1}{4x6}\] or \[\frac{1}{4x}  6\]

apples
 5 years ago
Best ResponseYou've already chosen the best response.1\[\frac{1}{4x6} = \frac{1}{4} \cdot \frac{1}{x  \frac{3}{2}} = \frac{1}{4} \cdot \frac{1}{\frac{3}{2}  x} = \frac{1}{4} \cdot \frac{2}{3} \cdot \frac{1}{1  \frac{2x}{3}} = \frac{1}{6} \cdot \frac{1}{1  \frac{2x}{3}}\] using the definition of the geometric series, we arrive at \[\frac{1}{6} \sum_{n = 0}^{\infty} \left(\frac{2x}{3}  1\right)^n\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well thank you sir, i will go ahead and follow ur example and try to see if ai can do a few problems thank you.

apples
 5 years ago
Best ResponseYou've already chosen the best response.1A note: If it's centered at c = a, then you just use (x  a) as your term.
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