Pertanyaan

x → 3 lim 2 x 2 + 3 − 4 3 9 − x 2 = .....

$x \to 3 lim \frac{9 - x ^{2}}{2 x ^{2} + 3 - 4 3} =$ .....

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Habis dalam

Klaim

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of invisible function application fraction numerator 9 minus x squared over denominator 2 square root of x squared plus 3 end root minus 4 square root of 3 end fraction end cell equals cell limit as x rightwards arrow 3 of invisible function application open parentheses fraction numerator 9 minus x squared over denominator 2 square root of x squared plus 3 end root minus 4 square root of 3 end fraction times fraction numerator 2 square root of x squared plus 3 end root plus 4 square root of 3 over denominator 2 square root of x squared plus 3 end root plus 4 square root of 3 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 3 of invisible function application fraction numerator open parentheses 9 minus x squared close parentheses open parentheses 2 square root of x squared plus 3 end root plus 4 square root of 3 close parentheses over denominator 4 open parentheses x squared plus 3 close parentheses minus 16 open parentheses 3 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 3 of invisible function application fraction numerator open parentheses 9 minus x squared close parentheses open parentheses 2 square root of x squared plus 3 end root plus 4 square root of 3 close parentheses over denominator 4 x squared minus 36 end fraction end cell row blank equals cell limit as x rightwards arrow 3 of invisible function application fraction numerator open parentheses 9 minus x squared close parentheses open parentheses 2 square root of x squared plus 3 end root plus 4 square root of 3 close parentheses over denominator negative 4 left parenthesis 9 minus x squared right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 3 of invisible function application fraction numerator open parentheses 2 square root of x squared plus 3 end root plus 4 square root of 3 close parentheses over denominator negative 4 end fraction end cell row blank equals cell fraction numerator open parentheses 2 square root of 12 plus 4 square root of 3 close parentheses over denominator negative 4 end fraction end cell row blank equals cell fraction numerator open parentheses 4 square root of 3 plus 4 square root of 3 close parentheses over denominator negative 4 end fraction end cell row blank equals cell negative 2 square root of 3 end cell end table end style$