evaluate the limit\n lim_{u\rightarrow3}sqrt{u^{2}+3u + 7}\nenter i for (infty), -i for (-infty), and dne if…
evaluate the limit\n lim_{u\rightarrow3}sqrt{u^{2}+3u + 7}\nenter i for (infty), -i for (-infty), and dne if the limit does not exist.\nlimit =
Answer
Explanation:
Step1: Substitute $u = 3$
Substitute $u = 3$ into $u^{2}+3u + 7$. We get $3^{2}+3\times3 + 7$.
Step2: Calculate the value inside the square - root
$3^{2}+3\times3 + 7=9 + 9+7=25$.
Step3: Calculate the square - root
$\sqrt{25}=5$.
Answer:
$5$