Pertanyaan

x → 4 lim x 2 + 7 x + 12 2 x 2 + x − 15

$x \to 4 lim \frac{2 x ^{2} + x - 15}{x ^{2} + 7 x + 12}$

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Jawaban terverifikasi

Jawaban

$begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator 2 x squared plus x minus 15 over denominator x squared plus 7 x plus 12 end fraction equals 3 over 8 end style$

Pembahasan

Dengan menggunakan metode substitusi. Jadi,

Dengan menggunakan metode substitusi.

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator 2 x squared plus x minus 15 over denominator x squared plus 7 x plus 12 end fraction end cell equals cell fraction numerator 2 left parenthesis 4 right parenthesis squared plus 4 minus 15 over denominator left parenthesis 4 right parenthesis squared plus 7 left parenthesis 4 right parenthesis plus 12 end fraction end cell row blank equals cell fraction numerator 32 plus 4 minus 15 over denominator 16 plus 28 plus 12 end fraction end cell row blank equals cell 21 over 56 end cell row blank equals cell 3 over 8 end cell end table$

Jadi, $begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator 2 x squared plus x minus 15 over denominator x squared plus 7 x plus 12 end fraction equals 3 over 8 end style$