Pertanyaan

N i l ai d a r i x → 2 lim t 2 + t + 6 t 2 − 8 = ...

$N i l ai d a r i x \to 2 lim \frac{t ^{2} - 8}{t ^{2} + t + 6} = ...$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 2 of fraction numerator t squared minus 8 over denominator t squared plus t plus 6 end fraction equals limit as x rightwards arrow 2 of fraction numerator left parenthesis t minus 2 right parenthesis left parenthesis t squared plus 2 t plus 4 right parenthesis over denominator left parenthesis t plus 3 right parenthesis left parenthesis t minus 2 right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 2 of fraction numerator left parenthesis t squared plus 2 t plus 4 right parenthesis over denominator left parenthesis t plus 3 right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis 2 squared plus 2 left parenthesis 2 right parenthesis plus 4 right parenthesis over denominator left parenthesis 2 plus 3 right parenthesis end fraction space space space space space space space space space space space space space space space space space space space space space space space equals 12 over 5$