Answer:
The Value of Given Limit is option E) 9
[tex]\lim_{x \to 3}(\sqrt{(x^{2}+7)} + 5) =9[/tex]
Step-by-step explanation:
Given:
[tex]\lim_{x \to 3}(\sqrt{(x^{2}+7)} + 5)[/tex]
To Find:
[tex]\lim_{x \to 3}(\sqrt{(x^{2}+7)} + 5) = ?[/tex]
Solution:
x → 3 Implies that x is approaching to 3 not equal to 3
For taking Limit out we need to put x = 3
∴ [tex]L = \lim_{x \to 3}(\sqrt{(x^{2}+7)} + 5) \\\\= \lim_{x \to 3}\sqrt{(x^{2}+7) } +\lim_{x \to 3}5\\\\=\sqrt{(3^{2} +7)} + 5\\\\=\sqrt{16} +5\\\\=4+5\\\\\therefore L =9[/tex]
∴ L = 9
