Use numerical and graphical evidence to conjecture values for:

$\displaystyle

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

$

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

$\displaystyle

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

$

Thanks in advance!