Calculus

Taylor Series

Taylor Series - Interval and Radius of Convergence

         

Which of the following represents the interval of convergence of the Taylor series of exe^x?

Find the radius of convergence for the series e3xe^{-3x}.

Find the radius of convergence for the series xsinxx\sin x.

Find the radius of convergence for the series 4+x\sqrt{4 + x}.

Which of the following represents the interval of convergence of the Taylor series of ln(1x)\ln(1-x)?

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