Question

Find the limits lim_{yrightarrow2}frac{y+2}{y^2+5y+6}

Limits and continuity
ANSWERED
asked 2020-12-24
Find the limits
\(\lim_{y\rightarrow2}\frac{y+2}{y^2+5y+6}\)

Answers (1)

2020-12-25
Given that,
\(\lim_{y\rightarrow2}\frac{y+2}{y^2+5y+6}\)
Plug the value y=2,
\(\lim_{y\rightarrow2}\frac{y+2}{y^2+5y+6}=\frac{2+2}{(2^2)+5(2)+6}\)
\(=\frac{4}{4+10+6}\)
\(=\frac{4}{20}\)
\(=\frac{1}{5}\)
Therefore,
\(\lim_{y\rightarrow2}\frac{y+2}{y^2+5y+6}=\frac{1}{5}\)
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