$\lim\limits_{x\to 3} \frac{x^2-9}{2x^2-7x+3}=\dots$

lim_{x \to 3} \frac{x^{2} - 9}{2 x^{2} - 7 x + 3} = \dots

$lim_{x \to 3} \frac{x^{2} - 9}{2 x^{2} - 7 x + 3} = \dots$

A. $\frac{1}{2}$

B. $\frac{5}{6}$

C. $\frac{6}{7}$

D. $\frac{7}{6}$

E. $\frac{6}{5}$

Penyelesaian

$lim_{x \to 3} \frac{x^{2} - 9}{2 x^{2} - 7 x + 3}$

$= lim_{x \to 3} \frac{(x + 3) (x - 3)}{(2 x - 1) (x - 3)}$

$= lim_{x \to 3} \frac{x + 3}{2 x - 1}$

$= \frac{3 + 3}{2 (3) - 1}$

$= \frac{6}{6 - 1}$

$= \frac{6}{5}$

Kesimpulan

Jadi nilai $lim_{x \to 3} \frac{x^{2} - 9}{2 x^{2} - 7 x + 3} = \frac{6}{5}$

Jawaban: E

        
          Muda Berkarya Intelektual Normatif

            Muda Berkarya Intelektual Normatif

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