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

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

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ddx

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lim_{x→ ∞}(5^x3^x+2^x )

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lim_{x→ ∞}(5^x3^x+2^x )

Divide by 3^x: (53 )^x1+(23 )^x

=lim_{x→ ∞}((53 )^x1+(23 )^x )

lim_x→a[f(x)g(x) ]=lim_x→af(x)lim_x→ag(x) , lim_x→ag(x)≠0
With the exception of indeterminate form

=lim_{x→ ∞}((53 )^x)lim_{x→ ∞}(1+(23 )^x)

lim_{x→ ∞}((53 )^x)=∞

lim_{x→ ∞}(1+(23 )^x)=1

=∞ 1

Apply Infinity Property: ∞c =∞

=∞

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

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

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