Pertanyaan

Nilai x → 5 lim 2 x 2 − 13 x + 15 x 2 − x − 20 adalah...

Nilai $x \to 5 lim \frac{x ^{2} - x - 20}{2 x ^{2} - 13 x + 15}$ adalah...

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

Nilai adalah

Nilai $limit as x rightwards arrow 5 of fraction numerator x squared minus x minus 20 over denominator 2 x squared minus 13 x plus 15 end fraction$ adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 9 over 7 end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 9 over 7 end cell end table

Pembahasan

Untuk menyelesaikan limit fungsi di atas, maka kita faktorkan terlebih dahulu: Jadi,Nilai adalah

Untuk menyelesaikan limit fungsi di atas, maka kita faktorkan terlebih dahulu:

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 5 of fraction numerator x squared minus x minus 20 over denominator 2 x squared minus 13 x plus 15 end fraction end cell equals cell limit as x rightwards arrow 5 of fraction numerator open parentheses x plus 4 close parentheses open parentheses x minus 5 close parentheses over denominator open parentheses 2 x minus 3 close parentheses open parentheses x minus 5 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 5 of fraction numerator open parentheses x plus 4 close parentheses over denominator open parentheses 2 x minus 3 close parentheses end fraction end cell row blank equals cell fraction numerator 5 plus 4 over denominator 2 open parentheses 5 close parentheses minus 3 end fraction end cell row blank equals cell fraction numerator 9 over denominator 10 minus 3 end fraction end cell row blank equals cell 9 over 7 end cell end table$

Jadi, Nilai $limit as x rightwards arrow 5 of fraction numerator x squared minus x minus 20 over denominator 2 x squared minus 13 x plus 15 end fraction$ adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 9 over 7 end cell end table