Limit Fungsi Alajabar - Universityku

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Tentukan nilai limit dari :
$large 1.) : displaystyle lim_{x to 6}frac{x^2 + 2x - 8}{x^2 - 6x + 8}$
$large 2.) : displaystyle lim_{x toinfty}frac{(2x:+:5)(x:-:1)}{(4:-:3x)(1:+:2x)}$

Limit Fungsi Alajabar

~Limit Fungsi Aljabar

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» Penyelesaian

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Nomor 1

$sf limlimits_{x to 6} left( frac{x^2 + 2x - 8}{x^2 - 6x + 8} right)$

$sf limlimits_{x to 6} left( frac{cancel{(x - 2)}(x + 4) }{(x - 4)cancel{(x - 2)}} right)$

$sf limlimits_{x to 6} left( frac{x + 4}{x - 4} right)$

$sf = frac{6 + 4}{6 - 4}~rightarrow~purple{sf Substitusikan ~nilai~x}$

$sf = frac{10}{2}$

$pink{underline{purple{boxed{blue{sf = 5}}}}}$

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Nomor 2

$sf lim_{x toinfty} left(frac{(2x+5)(x-1)}{(4-3x)(1+2x)} right)$

$sf lim_{x toinfty} left(frac{2x^2 + 3x - 5}{- 6x^2 + 5x + 4 }right)$

$sf - lim_{x toinfty} left(frac{2x^2 + 3x - 5}{6x^2 + 5x + 4 }right)$

$sf = - frac{2}{6}$

$pink{underline{purple{boxed{blue{sf = - frac{1}{3}}}}}}$

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– Detail Jawaban

Mapel: Matematika
Kelas: XI
Materi: Limit Fungsi Aljabar
Kode Mapel: 2
Kode Kategorisasi: 11.2.8