Pertanyaan

Carilah nilai limit berikut x → 2 lim 2 x + 2 2 x 2 + 4

Carilah nilai limit berikut

$x \to 2 lim \frac{2 x ^{2} + 4}{2 x + 2}$

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack lim space with x rightwards arrow 2 below fraction numerator 2 x squared plus 4 over denominator 2 x plus 2 end fraction end cell equals cell fraction numerator 2 open parentheses 2 close parentheses squared plus 4 over denominator 2 open parentheses 2 close parentheses plus 2 end fraction end cell row blank equals cell fraction numerator 2 open parentheses 4 close parentheses plus 4 over denominator 4 plus 2 end fraction end cell row blank equals cell 12 over 6 end cell row blank equals 2 end table end style$