## Precalculus (6th Edition) Blitzer

a) $6$ b) $8$ c) Limit does not exist
Recall that if $f$ is a polynomial function, then we have $\lim_\limits{x\to a}f(x)=f(a)$. In order to to find the limit, we will plug $a$ into the function and then simplify. a) Since, $\lim_\limits{x\to 1^{-}} x=1$ when $x \lt 1$ $\lim_\limits{x\to 1^{-}} x+5=1+5=6$ b) Since, $\lim_\limits{x\to 1^{+}} x=1$ when $x \gt 1$ $\lim_\limits{x\to 1^{-}} x+7=1+7=8$ c) From part (a) and (b) $\lim_\limits{x\to 1^{-}} x+5 \neq \lim_\limits{x\to 1^{+}} x+7$ So, limit does not exist.