What is the power series expression for f(x)=x^2sin(x). Find the radius of convergence too.
I know that the power series of sinx is (-1)^n (x^(2n+1))/(2n+1)! But what about the x^2? Do you just take the derivative of it?
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then (from the Distributive Law).
To check the radius of convergence use the ratio test.
... multiplying both therms of (1) by You obtain... (2) Merry Christmas from Italy
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