Pertanyaan

Tentukannilai limit berikut! x → 4 lim x − 2 12 + x − x 2

Tentukan nilai limit berikut!

$x \to 4 lim \frac{12 + x - x ^{2}}{x - 2}$

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Habis dalam

Klaim

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator 12 plus x minus x squared over denominator square root of x minus 2 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator open parentheses 4 minus x close parentheses open parentheses 3 plus x close parentheses over denominator square root of x minus 2 end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator open parentheses 2 minus square root of x close parentheses open parentheses 2 plus square root of x close parentheses open parentheses 3 plus x close parentheses over denominator negative open parentheses 2 minus square root of x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 4 of open square brackets negative open parentheses 2 plus square root of x close parentheses open parentheses 3 plus x close parentheses close square brackets end cell row blank equals cell negative open parentheses 2 plus square root of 4 close parentheses open parentheses 3 plus 4 close parentheses end cell row blank equals cell negative open parentheses 4 close parentheses open parentheses 7 close parentheses end cell row blank equals cell negative 28 end cell end table end style$