x→1lim3x2+8x+52x2−x−3=....

Pertanyaan

$limit as x rightwards arrow 1 of fraction numerator 2 x squared minus x minus 3 over denominator 3 x squared plus 8 x plus 5 end fraction equals....$

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

$limit as x rightwards arrow 1 of fraction numerator 2 x squared minus x minus 3 over denominator 3 x squared plus 8 x plus 5 end fraction equals negative 1 over 8$ .

Pembahasan

Menentukan limit dengan metode pemfaktoran

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator 2 x squared minus x minus 3 over denominator 3 x squared plus 8 x plus 5 end fraction end cell equals cell limit as x rightwards arrow 1 of fraction numerator open parentheses 2 x minus 3 close parentheses open parentheses x plus 1 close parentheses over denominator open parentheses 3 x plus 5 close parentheses open parentheses x plus 1 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 1 of fraction numerator open parentheses 2 x minus 3 close parentheses over denominator open parentheses 3 x plus 5 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 2 open parentheses 1 close parentheses minus 3 close parentheses over denominator open parentheses 3 open parentheses 1 close parentheses plus 5 close parentheses end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 8 end fraction end cell end table$

Jadi, $limit as x rightwards arrow 1 of fraction numerator 2 x squared minus x minus 3 over denominator 3 x squared plus 8 x plus 5 end fraction equals negative 1 over 8$ .

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