Pertanyaan

N i l ai d a r i x →∼ lim ( 3 x − 2 ) − 9 x 2 − 2 x + 5 = .....

$N i l ai d a r i x \to\sim lim (3 x - 2) - 9 x^{2} - 2 x + 5 = .....$

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A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow tilde of left parenthesis 3 x minus 2 right parenthesis minus square root of 9 x squared minus 2 x plus 5 end root limit as x rightwards arrow tilde of square root of a x squared minus b x plus c end root minus square root of a x squared minus d x plus e end root equals fraction numerator b minus d over denominator 2 square root of a end fraction limit as x rightwards arrow tilde of square root of left parenthesis 3 x minus 2 right parenthesis squared end root minus square root of 9 x squared minus 2 x plus 5 end root equals limit as x rightwards arrow tilde of square root of 9 x squared minus 12 x plus 4 end root minus square root of 9 x squared minus 2 x plus 5 end root equals fraction numerator left parenthesis negative 12 right parenthesis minus left parenthesis negative 2 right parenthesis over denominator 2 square root of 9 end fraction equals fraction numerator negative 10 over denominator 2 left parenthesis 3 right parenthesis end fraction equals negative 5 over 3$