tentukan lah nilai limit berikut
x mendekati 3 2x²-5x-3/x²-2x-3![]()
x mendekati 3 2x²-5x-3/x²-2x-3
[tex] \displaystyle \tt \lim_{x \to 3} \frac{ {2x}^{2} - 5x - 3 }{ {x}^{2} - 2x - 3 } [/tex]
[tex] \tt = \displaystyle \tt \lim_{x \to 3} \frac{(2x + 1) \times (x - 3)}{(x + 1) \times (x - 3)} [/tex]
[tex] = \tt\displaystyle \tt \lim_{x \to 3} \frac{2x + 1}{x + 1} [/tex]
[tex] = \tt \frac{2 \times 3 + 1}{3 + 1} [/tex]
[tex] = \tt \frac{6 + 1}{3 + 1} [/tex]
[tex] = \tt \frac{6 + 1}{4} [/tex]
[tex] = \tt \frac{7}{4}[/tex]
[tex] = \tt1 \frac{3}{4} [/tex]
[answer.2.content]
