[tex]\sf \lim\limits_{x \to 4} \frac{2x^{2} -5x-12}{3x^{2} -11x-4} \\\\= \lim\limits_{x \to 4} \frac{(2x+3)(x-4)}{(3x+1)(x-4)} \\\\= \lim\limits_{x \to 4} \frac{2x+3}{3x+1}\\\\=\frac{2(4)+3}{3(4)+1} \\\\=\frac{8+3}{12+1} \\\\=\boxed{\sf \frac{11}{13} }[/tex]
PEMBAHASAN
Limit
Bentuk 0/0
L'Hopital
lim x→4 (2x² - 5x - 12)/(3x² - 11x - 4)
= lim x→4 (4x - 5) / (6x - 11)
= (4.4 - 5)/(6.4 - 11)
= (16 - 5)/(24 - 11)
= 11/13
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[tex]\sf \lim\limits_{x \to 4} \frac{2x^{2} -5x-12}{3x^{2} -11x-4} \\\\= \lim\limits_{x \to 4} \frac{(2x+3)(x-4)}{(3x+1)(x-4)} \\\\= \lim\limits_{x \to 4} \frac{2x+3}{3x+1}\\\\=\frac{2(4)+3}{3(4)+1} \\\\=\frac{8+3}{12+1} \\\\=\boxed{\sf \frac{11}{13} }[/tex]
PEMBAHASAN
Limit
Bentuk 0/0
L'Hopital
lim x→4 (2x² - 5x - 12)/(3x² - 11x - 4)
= lim x→4 (4x - 5) / (6x - 11)
= (4.4 - 5)/(6.4 - 11)
= (16 - 5)/(24 - 11)
= 11/13