Tentukan nilai limit dari fungsi berikut : 2) limx→1 3x+1x2+3= .... (turunan)

Pertanyaan

Tentukan nilai limit dari fungsi berikut :

2) $begin mathsize 14px style lim subscript x rightwards arrow 1 end subscript space fraction numerator x squared plus 3 over denominator 3 x plus 1 end fraction equals end style$ .... (turunan)

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Penyelesaian limit dengan menggunakan dalil L'Hopital atau turunan dimana :

$begin mathsize 14px style lim subscript x rightwards arrow a end subscript space fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction equals lim subscript x rightwards arrow a end subscript fraction numerator f apostrophe left parenthesis x right parenthesis over denominator g apostrophe left parenthesis x right parenthesis end fraction lim subscript x rightwards arrow 1 end subscript space fraction numerator x squared plus 3 over denominator 3 x plus 1 end fraction equals lim subscript x rightwards arrow 1 end subscript fraction numerator 2 x over denominator 3 end fraction equals fraction numerator 2 left parenthesis 1 right parenthesis over denominator 3 end fraction equals 2 over 3 end style$