\[\lim_{x \to 0}\frac{f(x)}{g(x)}=\frac{0}{0}\]
1. Hasil dari :
\[\lim_{x \to 3}\frac{x^2 - 4x + 3}{x - 3}= . . .\]
A. 1 D. 4
B. 2 E. 5
C. 3
Pembahasan :
\[\lim_{x \to 3}\frac{x^2 - 4x + 3}{x - 3} = \lim_{x \to 3}\frac{{(x - 3)}{(x - 1)}}{(x - 3)}\]
\[\lim_{x \to 3}\frac{{(x - 3)}{(x - 1)}}{(x - 3)}\]
\[=\lim_{x \to 3}(x - 1)\]
= 3 - 1
= 2
2. Hasil dari :
\[\lim_{x \to 1}\frac{ x - 1}{2x - 2}= . . .\]
$A. \frac{ 1}{4}$ D. 1
$B. \frac{ 1}{3}$ E. 2
$C. \frac{ 1}{2}$
Pembahasan :
\[\lim_{x \to 1}\frac{x - 1}{2x - 2} = \lim_{x \to 1}\frac{(x - 1)}{2(x - 1)} \]
=\[\lim_{x \to 1} 2\]
= 2
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