Question

Select the correct answer. What is the value of this limit?

Answer 1

Answer:

The Value of Given Limit is option E) 9

$\lim_{x \to 3}(\sqrt{(x^{2}+7)} + 5) =9$

Step-by-step explanation:

Given:

$\lim_{x \to 3}(\sqrt{(x^{2}+7)} + 5)$

To Find:

$\lim_{x \to 3}(\sqrt{(x^{2}+7)} + 5) = ?$

Solution:

x → 3 Implies that x is approaching to 3 not equal to 3

For taking Limit  out we need to put x = 3

∴ $L = \lim_{x \to 3}(\sqrt{(x^{2}+7)} + 5) \\\\= \lim_{x \to 3}\sqrt{(x^{2}+7) } +\lim_{x \to 3}5\\\\=\sqrt{(3^{2} +7)} + 5\\\\=\sqrt{16} +5\\\\=4+5\\\\\therefore L =9$

∴ L = 9