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# limits of functions watch

1. the question is:
evaluate

lim (x+x^-1) / (x - x^-1)
x→o

i have no idea how to start this, thanks in advance for the help, rep given.
2. Multiply the top and bottom by x, then it becomes clear that the limit is -1 as x->0
but why would you multiply denominator and numerator by x
4. To get rid of the 1/x, so instead you get:

(x^2 + 1)/(x^2 - 1)

And as x->0 we get 1/(-1) = -1
5. thanks

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Updated: October 18, 2006
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