Pertanyaan

x → 1 lim x 2 − ax x 2 − ( a + 4 ) x + 4 a = 2 , a = ...

$x \to 1 lim \frac{x ^{2} - ( a + 4 ) x + 4 a}{x ^{2} - ax} = 2, a = ...$

-4
-3
-2
-1
0

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Jawaban terverifikasi

Pembahasan

$limit as straight x rightwards arrow straight a of space fraction numerator straight x squared minus open parentheses straight a plus 4 close parentheses straight x plus 4 straight a over denominator straight x squared minus ax end fraction equals 2 limit as straight x rightwards arrow straight a of space fraction numerator open parentheses straight x minus 4 close parentheses open parentheses straight x minus straight a close parentheses over denominator straight x open parentheses straight x minus straight a close parentheses end fraction equals 2 limit as straight x rightwards arrow straight a of space fraction numerator open parentheses straight x minus 4 close parentheses over denominator straight x end fraction equals 2 fraction numerator straight a minus 4 over denominator straight a end fraction equals 2 a minus 4 equals 2 a a minus 2 a equals 4 minus a equals 4 straight a equals negative 4$