lcm (3x)/(x^2+5x+6), (x-2)/(x^2+2x-3)

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

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ddx

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

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lim_{x→ ∞}(−9x²−82x−18x+9 )

Solution

−∞

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lim_{x→ ∞}(−9x²−82x−18x+9 )

最高の分母べき乗で割る:−9x−82−18x 1+9x

=lim_{x→ ∞}(−9x−82−18x 1+9x )

lim_x→a[f(x)g(x) ]=lim_x→af(x)lim_x→ag(x) , lim_x→ag(x)≠0
不定形式の場合を除く

=lim_{x→ ∞}(−9x−82−18x )lim_{x→ ∞}(1+9x )

lim_{x→ ∞}(−9x−82−18x )=−∞

lim_{x→ ∞}(1+9x )=1

=−∞ 1

無限大の特性を適用する:−∞c =−∞

=−∞

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+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
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lcm (3x)/(x^2+5x+6), (x-2)/(x^2+2x-3)

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