Suppose that the function f is represented by the powerseriesf(x) = 1 x 53 + (x 5)232 (x

Chapter 9, Problem 24

(choose chapter or problem)

Suppose that the function f is represented by the power series

$f(x)=1-\frac{x-5}{3}+\frac{(x-5)^{2}}{3^{2}}-\frac{(x-5)^{3}}{3^{3}}+\cdots$

(a) Find the domain of $f$. (b) Find $f(3)$ and $f(6)$.

Equation Transcription:

$f$

$f(x)=1-\frac{x-5}{3}+\frac{{(x-5)}^{2}}{{3}^{2}}-\frac{{(x-5)}^{3}}{{3}^{3}}+\cdot{}\ \cdot{}\ \cdot{}$

$f(3)$

$f(6)$

Text Transcription:

f(x)=1-x-5/3+(x-5)^⅔^2-(x-5)^3/3^3+...

f(3)

f(6)

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