- Universityku

lim x – 8 ( x² – 64 / x – 8 )

= x² – 64 / x – 8

= 8² – 64 / 8 – 8

= 64 – 64 / 8 – 8

= 0 / 0

Karena hasilnya tak tentu

maka kita faktorkan menjadi

lim x – 8 ( x² – 64 / x – 8 )

lim x – 8 ( ( x – 8 ) ( x + 8 ) / x – 8 )

lim x – 8 ( x + 8 )

= x + 8

= 8 + 8

= 16

Jwbn :

$displaystylesflimlimits_{x to 8}frac{{x}^{2} - 64}{x - 8} = ...$

$sf = frac{( {x}^{2} - 64)}{(x - 8)}$

$sf = frac{(x - 8)(x + 8)}{(x - 8)}$

$sf = frac{({xcancel{x - 8}})(x + 8)}{({xcancel{x - 8)}}}$

$sf = (x + 8)$

$sf = 8 + 8$

$sf = 16$

$purple{boxed{blue{boxed{green{star{red{ : : mathcal{5Riiz} : : : {green{star}}}}}}}}}$