Matematika Sekolah Menengah Atas Lim x mendekati -2 3x^2-8x+3/2x^2-18​

Lim x mendekati -2 3x^2-8x+3/2x^2-18​

[tex] lim_{x = - 2}( \frac{3 {x}^{2} - 8x + 3}{2 {x}^{2} - 18} ) [/tex]

[tex] = \frac{3 \times ( { - 2})^{2} - 8 \times ( - 2) + 3 }{2 \times {( - 2)}^{2} - 18} [/tex]

[tex] = \frac{3 \times 4 - ( - 16) + 3}{2 \times 4 - 18} [/tex]

[tex] = \frac{12 + 16 + 3}{8 - 18} = \frac{31}{ - 10} = \frac{ - 31}{10} [/tex]

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