Question

Let lim f(x)= 49. Use the limit rules to find the following limit.

Answer 1

As given by the question

There are given that the limit:

$\lim _{x\rightarrow7}f(x)=49$

Now,

From the law of limit:

$\lim _{x\rightarrow a}(\sqrt[]{f(x)})=\sqrt[]{m}$

Then,

Apply the above laws into the given limit

So,

$\begin{gathered} \lim _{x\rightarrow7}\sqrt{f(x)}=\sqrt{49} \\ =7 \end{gathered}$

Hence, the answer is 7.