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**1. Homework Statement**

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)?

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