Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that

R_{n}(x) → 0.]

f(x) = ln(1 + 5x)

f(x) =

Find the associated radius of convergence R.

R=

ln(1+5x) = (5x)-(5x)^2/2+(5x)^3/3-(5x)^4/4+.... (-1)^(n-1)*(5x)^n/n+..

Radius of convergence is |5x| < 1 or |x| < 0.2

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up