State whether the statement below is true or false If true o

State whether the statement below is true or false. If true or false give reason why. I couldn\'t draw the infinity symbol below.

0 is ordinary point of a(x)y\'\'+c(x)y=0 if c(x)/a(x) is analytic at 0
Sin(x) is convergent for any x, and the series for sin(x)/x converges for any x
So sin(x)/x has an interval of convergence around 0, (-infinity, infinity) so sin(x)/x is analytic

Thank you, and please give example.