gamme x/(x+1)

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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lim_{x→ ∞}(√x²+4−x)

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lim_{x→ ∞}(√x²+4−x)

Multiplier par le conjugué de √x²+4−x: 4√x²+4+x

=lim_{x→ ∞}(4√x²+4+x )

lim_x→a[c·f(x)]=c·lim_x→af(x)

=4· lim_{x→ ∞}(1√x²+4+x )

lim_x→a[f(x)g(x) ]=lim_x→af(x)lim_x→ag(x) , lim_x→ag(x)≠0
Avec l'exception de la forme indéterminée

=4· lim_{x→ ∞}(1)lim_{x→ ∞}(√x²+4+x)

lim_{x→ ∞}(1)=1

lim_{x→ ∞}(√x²+4+x)=∞

=4· 1∞

Simplifier 4· 1∞ : 0

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

gamme x/(x+1)

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