Pertanyaan

x → 1 lim x 2 − 1 x − 1

$x \to 1 lim \frac{x - 1}{x ^{2} - 1}$

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

nilai dari adalah .

nilai dari $begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared minus 1 end fraction end style$ adalah begin mathsize 14px style 1 half end style

begin mathsize 14px style 1 half end style

Pembahasan

Nilai dari : Jadi, nilai dari adalah .

Nilai dari $begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared minus 1 end fraction end style$ :

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared minus 1 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator 1 over denominator x plus 1 end fraction end cell row blank equals cell fraction numerator 1 over denominator 1 plus 1 end fraction end cell row blank equals cell 1 half end cell end table end style$

Jadi, nilai dari $begin mathsize 14px style limit as x rightwards arrow 1 of fraction numerator x minus 1 over denominator x squared minus 1 end fraction end style$ adalah begin mathsize 14px style 1 half end style .