Pertanyaan

Nilai x → 0 lim 3 − 9 + x 5 x = ....

Nilai $x \to 0 lim \frac{5 x}{3 - 9 + x} = ....$

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J. Joko

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Jawaban terverifikasi

Pembahasan

Jadi, jawaban yang tepat adalah A.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator 5 x over denominator 3 minus square root of 9 plus x end root end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator 5 x open parentheses 3 plus square root of 9 plus x end root close parentheses over denominator open parentheses 3 minus square root of 9 plus x end root close parentheses open parentheses 3 plus square root of 9 plus x end root close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 5 x open parentheses 3 plus square root of 9 plus x end root close parentheses over denominator open parentheses 9 minus 9 minus x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 5 x open parentheses 3 plus square root of 9 plus x end root close parentheses over denominator open parentheses negative x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of minus 5 open parentheses 3 plus square root of 9 plus x end root close parentheses end cell row blank equals cell negative 5 open parentheses 3 plus 3 close parentheses end cell row blank equals cell negative 30 end cell end table end style$

Jadi, jawaban yang tepat adalah A.