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limit as x approaches infinity of (5x^3+4)/(3x+2)

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

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approximation linéaire sin(x), a=π6

Solution

12 +√32 (x−π6 )

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Approximation linéaire

L'approximation linéaire de la fonction f(x) au point a est L(x) = f(a)+f ′(a)(x−a)

f(x)=sin(x), a=π6

f(a): 12

f ′(a): √32

L(x)=f(a)+f ′(a)(x−a)

=12 +√32 (x−π6 )

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

limit as x approaches infinity of (5x^3+4)/(3x+2)

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