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limit as z approaches infinity of ((z-8)^2)/(z^2-64)

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

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lim_{z→ ∞}((z−8)²z²−64 )

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lim_{z→ ∞}((z−8)²z²−64 )

Apply the following algebraic property: a+b=a(1+ba )
(z−8)²z²−64 =(z(1−8z ))²z²(1−64z² )

=lim_{z→ ∞}((z(1−8z ))²z²(1−64z² ) )

Simplify (z(1−8z ))²z²(1−64z² ) : (1−8z )²1−64z²

=lim_{z→ ∞}((1−8z )²1−64z² )

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_{z→ ∞}((1−8z )²)lim_{z→ ∞}(1−64z² )

lim_{z→ ∞}((1−8z )²)=1

lim_{z→ ∞}(1−64z² )=1

=11

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

limit as z approaches infinity of ((z-8)^2)/(z^2-64)

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