use squeeze theorem to establish limit
lim (as x goes to zero) of x sin(1/x)=0
also help with keying problem? symbosl etc?
For all $\displaystyle x \in \Re $,
$\displaystyle -1 \leq sin(x) \leq 1 $.
This is also valid for $\displaystyle 1/x \in \Re$ $\displaystyle x \neq 0$,
$\displaystyle -1 \leq sin(1/x) \leq 1 $.
Multiply by $\displaystyle x $ and apply the squeeze theorem.
Examples of using Latex (the symbols) can be found here Use [tex] and [/tex] tags NOT [math] and [/math] tags for latex. and LaTex Tutorial