(a) Find a power series representation interval of convergence. for the function below and determine it's radius and f(x)= (1-2x)² (b) Using graphing software, plot the graph of f(r) and the graph of its 5th-degree Taylor polynomial on the same set of axes. Does it look like your inverval of convergence from part (a) is correct?

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Chapter2: Second-order Linear Odes
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2. (a) Find a power series representation for the function below and determine it's radius and
interval of convergence.
(1-2x)²
(b) Using graphing software, plot the graph of f(r) and the graph of its 5th-degree Taylor
polynomial on the same set of axes. Does it look like your inverval of convergence from
part (a) is correct?
Transcribed Image Text:2. (a) Find a power series representation for the function below and determine it's radius and interval of convergence. (1-2x)² (b) Using graphing software, plot the graph of f(r) and the graph of its 5th-degree Taylor polynomial on the same set of axes. Does it look like your inverval of convergence from part (a) is correct?
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