What is the solution set of {x | x > -3} {x | x < 3}?
1 answer:
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Expand everything in the limit:
We have approaching 0, and in particular
, so we can cancel a factor in the numerator and denominator:
Alternatively, if you already know about derivatives, consider the function , whose derivative is
.
Using the limit definition, we have
which is exactly the original limit with . The derivative is
, so the value of the limit is, again, -14.