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Chapter 7: Problem 30

Find the limit. $$ \lim _{x \rightarrow 4} \sqrt[3]{x+4} $$

Short Answer

Expert verified
So, the limit of the given function as x approaches 4 is '2'.

Step by step solution

01

Understand the Problem

The function given is \(\sqrt[3]{x+4}\), and we are asked to find the limit of this function as x approaches 4.
02

Substitution

Substituting the value '4' in place of 'x', we obtain \(\sqrt[3]{4+4}\) which simplifies to \(\sqrt[3]{8}\).
03

Solving the cube root

Now as we know, the cube root of 8 is '2' (since \(2^3 = 8\)), thus \(\sqrt[3]{8}\) becomes '2'.

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