[OT] if or exception
Christopher T King
squirrel at WPI.EDU
Fri Jul 30 09:10:30 EDT 2004
On Fri, 30 Jul 2004, Steve wrote:
> What about code for cos(x)/x? By l'Hôpital's Rule, the
> limit as x->0 is 0.
Not to be nitpicky, but isn't l'Hôpital only valid in the case that
lim{x->0+} f(x) = lim{x->0-} f(x); i.e. the function approaches the same
value from the left and from the right? cos(x)/x approaches infinity from
the right, but negative infinity from the left, so I think that means it's
undefined at zero. Feel free to correct me though, it's been a couple of
years since Calc III ;)
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