How do you determine the limit of (x+2) / (x+3) as x approaches 3-?

Aug 1, 2017

As $x$ approaches $3$ from the left,
the numerator approaches $5$ and
the denominator approaches $6$.
Since the denominator does not approach $0$, we know that the quotient approaches $\frac{5}{6}$ and so the limit is $\frac{5}{6}$.
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