horizontal asymptotes of 2/x

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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horizontal asymptotes 2x

Solution

y=0

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2x

Horizontal asymptotes of rational functions

If denominator's degree > numerator's degree, the x-axis is the horizontal asymptote.
If the degrees are equal, there is an horizontal asymptote: y= numerator′s leading coefficient denominator′s leading coefficient
Otherwise, there is no horizontal asymptote.

The degree of the numerator=0. The degree of the denominator=1

Denominator's degree > numerator's degree. Therefore, the horizontal asymptote is the x-axis

The horizontal asymptote is:

y=0