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Using the definition of limit, prove:
1)that if limx->a g(x) = M ? 0, then lim x->a 1/(g(x)) = 1/M
2) limx->2 x^3 = 8
The ? is supposed to be a "does not equal" sign.
Lets assume first that M > 0.
If M < 0, we use the fact
, which can be proved separately. (Indeed the proof is nothing at all, since .)) Then, by the above, , and so .Last edited by JaneFairfax (2007-09-16 23:06:10)
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