×

## Taylor Series

The Taylor series is a polynomial of infinite degree used to represent functions like sine, cube roots, and the exponential function. They're how some calculators (and Physicists) make approximations.

# Interval and Radius of Convergence

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 $$\ln(1-x)$$?

×