Directions: Classify if the given mathematical symbols illustrate equation or

Mathematics

1 answer:

marissa [1.9K]2 years ago

5 0

Answer:

Inequalities if it has $\leq or \geq \\$ symbols

Equations if it has =

Step-by-step explanation:

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$f(x)=\displaystyle\frac{x^2+x-2}{x+1}=\frac{x(x+1)-2}{x+1}=x-\frac{2}{x+1}
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$\displaystyle\lim_{x\to\infty}\left\{f(x)-x \right\}=\lim_{x\to\infty}\frac{2}{x+1}=\lim_{x\to\infty}\frac{\displaystyle\frac{2}{x}}{1+\displaystyle\frac{1}{x}}
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Consequently, the limit of $f(x)$ as x approaches infinity is $x$ .

In other words, $f(x)$ approaches the line y=x,

so oblique asymptote is y=x.

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