- #1
lxman
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Homework Statement
The Taylor series of function [tex]f(x)=ln(x)[/tex] at [tex]a=7[/tex] is given by:
[tex]f(x)=\sum^{\infty}_{n=0}c_{n}(x-7)^{n}[/tex]
Determine the interval of convergence
The Attempt at a Solution
I have worked out that the series would be of the form:
[tex]ln(7)+\frac{x-7}{7}-\frac{(x-7)^{2}}{(2)7^{2}}+\frac{(x-7)^{3}}{(3)7^{3}}...[/tex]
Am I ok to this point?