Pertanyaan

Nilai dari x → ∞ lim [ ( 3 x − 2 ) − 9 x 2 − 2 x + 5 ] = ...

Nilai dari $x \to \infty lim [(3 x - 2) - 9 x^{2} - 2 x + 5] = ...$

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

Jawaban terverifikasi

Pembahasan

Ingat rumus: , dengan syarat a=d

Ingat rumus:

$limit as straight x rightwards arrow infinity of space open square brackets square root of ax squared plus bx plus straight c end root minus square root of dx squared minus ex plus straight f end root close square brackets equals fraction numerator straight b minus straight e over denominator 2 square root of straight a end fraction$ , dengan syarat a=d

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow infinity of space open square brackets open parentheses 3 straight x minus 2 close parentheses minus square root of 9 straight x squared minus 2 straight x plus 5 end root close square brackets end cell equals cell limit as straight x rightwards arrow infinity of space open square brackets square root of 9 straight x squared minus 12 straight x plus 4 end root minus square root of 9 straight x squared minus 2 straight x plus 5 end root close square brackets end cell row blank equals cell fraction numerator negative 12 minus open parentheses 2 close parentheses over denominator 2 square root of 9 end fraction end cell row blank equals cell fraction numerator negative 10 over denominator 6 end fraction end cell row blank equals cell negative 5 over 3 end cell end table$