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)√(f(x))=√(49) \\ =7 \end{gathered}`

Hence, the answer is 7.