Pertanyaan

N i l ai d a r i x → 3 lim ( x 3 + 2 x 2 − 15 x x 2 − 3 x ) = ...

$N i l ai d a r i x \to 3 lim (\frac{x ^{2} - 3 x}{x ^{3} + 2 x ^{2} - 15 x}) = ...$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$D a l a m space m e n e n t u k a n space n i l a i space limit as x rightwards arrow a of fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction space y a n g space m e n g h a s i l k a n space b e n t u k space t a k space t e n t u space open parentheses 0 over 0 close parentheses space d a p a t space d i g u n a k a n space r u m u s colon limit as x rightwards arrow a of fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction equals limit as x rightwards arrow a of fraction numerator f apostrophe left parenthesis x right parenthesis over denominator g apostrophe left parenthesis x right parenthesis end fraction D e n g a n space f apostrophe left parenthesis x right parenthesis equals t u r u n a n space p e r t a m a space f left parenthesis x right parenthesis space d a n space g apostrophe left parenthesis x right parenthesis equals t u r u n a n space p e r t a m a space g left parenthesis x right parenthesis equals fraction numerator 2.3 minus 3 over denominator 3 left parenthesis 3 right parenthesis squared plus 4.3 minus 15 end fraction equals fraction numerator 6 minus 3 over denominator 27 plus 12 minus 15 end fraction equals 3 over 24 equals 1 over 8$