Pertanyaan

x → 1 lim 3 x 2 + 8 x + 5 2 x 2 − x − 3 = ....

$x \to 1 lim \frac{2 x ^{2} - x - 3}{3 x ^{2} + 8 x + 5} = ....$

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 Jadi, .

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