(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the function defined by

(stepwise)

f(x)= e^(-1/x^2) if x =/ 0

= 0 if x=0

is NOT equal to its Maclauren series.

Then graph the function and comment on its behavior near the origin.

3. The attempt at a solution

Well, I honestly don't know how to prove this. I graphed it and noticed that as it approaches the origin, it concaves up, so f''(x)>0 at (0,0).

Am I supposed to first u-substitute in order to differentiate the e^(-1/x^2)?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Maclaurin series graph

**Physics Forums | Science Articles, Homework Help, Discussion**