Question

How to solve this one
Please step by step

Answer 1

Answer: 1/2

Explanation:

Dividing the numerator and denominator by x, we get the limit is equal to:

`\lim_(x \to -\infty) \frac{-\sqrt{1+(5)/(x)+(1)/(x^2)}+3}{4+(7)/(x)}\\\\=\frac{\lim_(x \to -\infty) \left(-\sqrt{1+(5)/(x)+(1)/(x^2)}+3 \right)}{\lim_(x \to -\infty) \left(4+(7)/(x) \right)}\\\\=(2)/(4)=\boxed{1/2}`