Pertanyaan

Carilah nilai limit berikut x → 2 lim x 2 − 4 x 2 + x − 6

Carilah nilai limit berikut

$x \to 2 lim \frac{x ^{2} + x - 6}{x ^{2} - 4}$

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared plus x minus 6 over denominator x squared minus 4 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 3 close parentheses open parentheses x minus 2 close parentheses over denominator open parentheses x minus 2 close parentheses open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 3 close parentheses over denominator open parentheses x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 2 plus 3 close parentheses over denominator open parentheses 2 plus 2 close parentheses end fraction end cell row blank equals cell 5 over 4 end cell end table end style$

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