4. Find the Maclaurin series


label Calculus
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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 

Rn(x) → 0.]

f(x) = ln(1 + 5x)

f(x) = 

 
n = 1

Find the associated radius of convergence R.

R=

Nov 19th, 2017

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

May 11th, 2015

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