Pertanyaan

Hitunglah nilai limit-limit berikut ini. e. x → 3 lim 2 x − 1 x − 5

Hitunglah nilai limit-limit berikut ini.

e. $x \to 3 lim \frac{x - 5}{2 x - 1}$

A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

diperoleh .

diperoleh $begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x minus 5 over denominator 2 x minus 1 end fraction equals negative 0 comma 4 end style$ .

Pembahasan

Substitusi ke dalam fungsi. Jadi, diperoleh .

Substitusi x equals 3 ke dalam fungsi.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of fraction numerator x minus 5 over denominator 2 x minus 1 end fraction end cell equals cell fraction numerator 3 minus 5 over denominator 2 open parentheses 3 close parentheses minus 1 end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 5 end fraction end cell row blank equals cell negative 0 comma 4 end cell end table end style$

Jadi, diperoleh $begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x minus 5 over denominator 2 x minus 1 end fraction equals negative 0 comma 4 end style$ .