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Math  /  Calculus

QuestionFind a power series representation for the function. (Give yy f(x)=ln⁡(5−x)f(x)=ln⁡(5)−∑n=1∞(□)\begin{array}{c} f(x)=\ln (5-x) \\ f(x)=\ln (5)-\sum_{n=1}^{\infty}(\square) \end{array}
Determine the radius of convergence, RR. R=R= □\square Need Help? Read It Watch It Master It Submit Answer

Studdy Solution
The power series representation for f(x)=ln⁡(5−x)f(x) = \ln(5-x) is ln⁡(5)−∑n=1∞xnn⋅5n\ln(5) - \sum_{n=1}^{\infty} \frac{x^n}{n \cdot 5^n} The radius of convergence is R=5R = 5.

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