# Limits..

• Jan 25th 2008, 09:45 AM
toop
Limits..
Use numerical and graphical evidence to conjecture values for:

$
\mathop {\lim }\limits_{x \to 0} e^{ - 1/x^2 }
$

Use numerical and graphical evidence to conjecture whether the limit at $x = a$ exists. If not, describe what is happening at $x = a$ graphically.

$
\mathop {\lim }\limits_{x \to 0} x\ln (x^2 )
$

• Jan 25th 2008, 09:53 AM
topsquark
Quote:

Originally Posted by toop
Use numerical and graphical evidence to conjecture values for:

$
\mathop {\lim }\limits_{x \to 0} e^{ - 1/x^2 }
$

I'm assuming what they want you to do is calculate $e^{-1/x^2}$ for very small values of x to see what it appears to approach. Then use a graphing utility to verify that result.

What, specifically, do you need help with for this?

-Dan