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limit as x approaches infinity of (4x-7)/(x^2+5x)

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

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x²+ax+b=0

Solution

x=−a+√a²−4b2 , x=−a−√a²−4b2

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Solution steps

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x²+ax+b=0

Résoudre par la formule quadratique

x_{1, 2}=−a± √a²−4· 1· b2· 1

Simplifier √a²−4· 1· b: √a²−4b

x_{1, 2}=−a± √a²−4b2· 1

Séparer les solutions

x₁=−a+√a²−4b2· 1 , x₂=−a−√a²−4b2· 1

x=−a+√a²−4b2· 1 : −a+√a²−4b2

x=−a−√a²−4b2· 1 : −a−√a²−4b2

Les solutions de l'équation de forme quadratique sont :

x=−a+√a²−4b2 , x=−a−√a²−4b2

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

limit as x approaches infinity of (4x-7)/(x^2+5x)

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