?Find the limit or show that it does not exist.\(\lim _{x \rightarrow \infty}

Chapter 2, Problem 23

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QUESTION:

Find the limit or show that it does not exist.

\(\lim _{x \rightarrow \infty} \frac{\sqrt{x \ + \ 3 x^{2}}}{4 x \ - \ 1}\)

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QUESTION:

Find the limit or show that it does not exist.

\(\lim _{x \rightarrow \infty} \frac{\sqrt{x \ + \ 3 x^{2}}}{4 x \ - \ 1}\)

ANSWER:

Step 1 of 2

Consider the given function as,

\(\mathop {\lim }\limits_{x \to \infty } \frac{{\sqrt {x + 3{x^2}} }}{{4x - 1}}\)

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