Pertanyaan

x → − 3 lim x 2 + x − 6 3 x 2 + 9 x = …

$x \to - 3 lim \frac{3 x ^{2} + 9 x}{x ^{2} + x - 6} = \dots$

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E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

nilai limit tersebut adalah .

nilai limit tersebut adalah begin mathsize 14px style 9 over 5 end style

Pembahasan

Jadi, nilai limit tersebut adalah .

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 3 of fraction numerator 3 x squared plus 9 x over denominator x squared plus x minus 6 end fraction end cell equals cell limit as x rightwards arrow negative 3 of fraction numerator 3 x open parentheses x plus 3 close parentheses over denominator open parentheses x plus 3 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow negative 3 of fraction numerator 3 x over denominator left parenthesis x minus 2 right parenthesis end fraction end cell row blank equals cell fraction numerator 3 open parentheses negative 3 close parentheses over denominator negative 3 minus 2 end fraction end cell row blank equals cell fraction numerator negative 9 over denominator negative 5 end fraction end cell row blank equals cell 9 over 5 end cell end table end style$

Jadi, nilai limit tersebut adalah begin mathsize 14px style 9 over 5 end style .