# What is the limit? 1) \lim_{x \to + \infty} \frac{10x + 8}{7x^2 - 3x + 5} 2) \lim_{x \to -...

## Question:

What is the limit?

1) {eq}\lim_{x \to + \infty} \frac{10x + 8}{7x^2 - 3x + 5} {/eq}

2) {eq}\lim_{x \to - \infty} \frac{10x + 8}{7x^2 - 3x + 5} {/eq}

## Definition:

We can say that the limit of any function {eq}f(y) {/eq} is M as y approaches a,

we can write it as follows:

{eq}\displaystyle \mathop {\lim }\limits_{y \to a} f\left( y \right) = M {/eq}

provided we can bring function {eq}f(y) {/eq} as near as possible to M as for every y sufficiently close to a,

from both sides, without actually letting y be equal to a.

## Answer and Explanation:

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**(1)**

The given limit is

{eq}\displaystyle \lim_{x \to + \infty} \frac{10x + 8}{7x^2 - 3x + 5} {/eq}

and we want to evaluate this limit

{eq}\d...

See full answer below.

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