Pertanyaan

N i l ai x → 0 lim 3 − 9 + x 2 x 2 − 5 x a d a l ah

$N i l ai x \to 0 lim \frac{2 x ^{2} - 5 x}{3 - 9 + x} a d a l ah$

30
1
0
-1
-30

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N. Rahayu

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Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 0 of fraction numerator 2 x squared minus 5 x over denominator 3 minus square root of 9 plus x end root end fraction equals limit as x rightwards arrow 0 of fraction numerator 2 x squared minus 5 x over denominator 3 minus square root of 9 plus x end root end fraction cross times fraction numerator 3 plus square root of 9 plus x end root over denominator 3 plus square root of 9 plus x end root 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 space space space space space space space equals limit as x rightwards arrow 0 of fraction numerator open parentheses 2 x squared minus 5 x close parentheses open parentheses 3 plus square root of 9 plus x end root close parentheses over denominator 9 minus open parentheses 9 plus x close parentheses 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 space space space space space space space equals limit as x rightwards arrow 0 of fraction numerator x open parentheses 2 x minus 5 close parentheses open parentheses 3 plus square root of 9 plus x end root close parentheses over denominator negative x 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 space space space space space space space equals limit as x rightwards arrow 0 of minus open parentheses 2 x minus 5 close parentheses open parentheses 3 plus square root of 9 plus x end root close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative open parentheses 2 open parentheses 0 close parentheses minus 5 close parentheses open parentheses 3 plus square root of 9 plus 0 end root close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals negative open parentheses negative 5 close parentheses open parentheses 6 close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 30$