Hitunglah nilai limit fungsi-fungsi berikut. c. x→−1lim x2−1x3+1

Pertanyaan

Hitunglah nilai limit fungsi-fungsi berikut.

c. $limit as x rightwards arrow negative 1 of space fraction numerator x cubed plus 1 over denominator x squared minus 1 end fraction$

Y. Endah

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

nilai $limit as x rightwards arrow 1 of space fraction numerator x cubed plus 1 over denominator x squared minus 1 end fraction equals negative 1 half$ .

Pembahasan

Perhatikan

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 1 of space fraction numerator x cubed plus 1 over denominator x squared minus 1 end fraction end cell equals cell limit as x rightwards arrow negative 1 of space fraction numerator open parentheses x squared minus x plus 1 close parentheses open parentheses x plus 1 close parentheses over denominator open parentheses x minus 1 close parentheses open parentheses x plus 1 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow negative 1 of space fraction numerator open parentheses x squared plus x plus 1 close parentheses over denominator open parentheses x minus 1 close parentheses end fraction end cell row blank equals cell negative 1 half end cell end table$

Jadi, nilai $limit as x rightwards arrow 1 of space fraction numerator x cubed plus 1 over denominator x squared minus 1 end fraction equals negative 1 half$ .