Pertanyaan

Nilai x → 4 Lim 1 − x − 3 x − 4 = ....

Nilai $x \to 4 Lim \frac{x - 4}{1 - x - 3} = ....$

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Habis dalam

Klaim

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Jadi, jawaban yang tepat adalah A

$begin mathsize 14px style Lim with x rightwards arrow 4 below fraction numerator x minus 4 over denominator 1 minus square root of x minus 3 end root end fraction equals Lim with straight x rightwards arrow 4 below fraction numerator x minus 4 over denominator 1 minus square root of x minus 3 end root end fraction times fraction numerator 1 plus square root of x minus 3 end root over denominator 1 plus square root of x minus 3 end root end fraction equals Lim with straight x rightwards arrow 4 below fraction numerator open parentheses x minus 4 close parentheses open parentheses 1 plus square root of x minus 3 end root close parentheses over denominator 1 minus open parentheses x minus 3 close parentheses end fraction equals Lim with straight x rightwards arrow 4 below fraction numerator left parenthesis x minus 4 right parenthesis left parenthesis 1 plus square root of x minus 3 end root right parenthesis over denominator 4 minus x end fraction equals Lim with straight x rightwards arrow 4 below open parentheses negative 1 close parentheses left parenthesis 1 plus square root of x minus 3 end root right parenthesis equals open parentheses negative 1 close parentheses open parentheses 1 plus square root of 4 minus 3 end root close parentheses equals open parentheses negative 1 close parentheses open parentheses 2 close parentheses equals negative 2 end style$

Jadi, jawaban yang tepat adalah A