anonymous
  • anonymous
hi, im looking for some help on finding a power series f(x)=1/4x-6 centered a c=1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
what does c=1 mean
anonymous
  • anonymous
just a variable, thats where im actually lost
anonymous
  • anonymous
not exactly sure how to apply it to the equation, i have some examples but i cant math the answer on th review

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apples
  • apples
Do you mean \[\frac{1}{4x-6}\] or \[\frac{1}{4x} - 6\]
anonymous
  • anonymous
the top one 1/(4x-6)
apples
  • apples
\[\frac{1}{4x-6} = \frac{1}{4} \cdot \frac{1}{x - \frac{3}{2}} = -\frac{1}{4} \cdot \frac{1}{\frac{3}{2} - x} = -\frac{1}{4} \cdot \frac{2}{3} \cdot \frac{1}{1 - \frac{2x}{3}} = -\frac{1}{6} \cdot \frac{1}{1 - \frac{2x}{3}}\] 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
  • anonymous
well 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
  • apples
A note: If it's centered at c = a, then you just use (x - a) as your term.

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