The fastest a human has ever run is 27 miles per hours. How many miles per minute did the human run?
2 answers:
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In the limit
we're interested in the value that converges to as
gets closer to
. So in fact
.
In the given example, is factorized to reveal a common factor of
in the numerator and denominator. We have
if
, so
so we can simplify
and *remove* the discontinuity.
Then