Pertanyaan

t → 2 lim t 2 − 3 t + 2 t 2 − 4

$t \to 2 lim \frac{t ^{2} - 4}{t ^{2} - 3 t + 2}$

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawabannya adalah 4.

Pembahasan

Jadi, jawabannya adalah 4.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as t rightwards arrow 2 of fraction numerator t squared minus 4 over denominator t squared minus 3 t plus 2 end fraction end cell equals cell limit as t rightwards arrow 2 of fraction numerator up diagonal strike open parentheses t minus 2 close parentheses end strike. open parentheses t plus 2 close parentheses over denominator up diagonal strike open parentheses t minus 2 close parentheses end strike. open parentheses t minus 1 close parentheses end fraction end cell row blank equals cell limit as t rightwards arrow 2 of fraction numerator open parentheses t minus 2 close parentheses. open parentheses t plus 2 close parentheses over denominator open parentheses t minus 2 close parentheses. open parentheses t minus 1 close parentheses end fraction end cell row blank equals cell limit as t rightwards arrow 2 of fraction numerator open parentheses t plus 2 close parentheses over denominator open parentheses t minus 1 close parentheses end fraction end cell row blank equals cell fraction numerator 2 plus 2 over denominator 2 minus 1 end fraction end cell row blank equals 4 end table end style$

Jadi, jawabannya adalah 4.