Taylor Series

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

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

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

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

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

Taylor Series - Interval and Radius of Convergence