Finding One-Sided Limits
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Math › Finding One-Sided Limits
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1
Let .
Find .
The limit does not exist.
Explanation
This is a graph of . We know that
is undefined; therefore, there is no value for
. But as we take a look at the graph, we can see that as
approaches 0 from the left,
approaches negative infinity.
This can be illustrated by thinking of small negative numbers.
NOTE: Pay attention to one-sided limit specifications, as it is easy to pick the wrong answer choice if you're not careful.
is actually infinity, not negative infinity.
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