Pertanyaan

Hitunglah nilai limit fungsi berikut: x → − 1 lim x 2 + 7 x + 6 x 2 − 4 x − 5

Hitunglah nilai limit fungsi berikut:

$x \to - 1 lim \frac{x ^{2} - 4 x - 5}{x ^{2} + 7 x + 6}$

D. Enty

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 1 of fraction numerator x squared minus 4 x minus 5 over denominator x squared plus 7 x plus 6 end fraction end cell equals cell limit as x rightwards arrow negative 1 of fraction numerator left parenthesis x minus 5 right parenthesis left parenthesis x plus 1 right parenthesis over denominator left parenthesis x plus 6 right parenthesis left parenthesis x plus 1 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow negative 1 of fraction numerator x minus 5 over denominator x plus 6 end fraction end cell row blank equals cell negative 6 over 5 end cell end table end style$