Pertanyaan

x → 5 lim x 2 − 5 x 2 x 2 − 3 x − 35 = ...

$x \to 5 lim \frac{2 x ^{2} - 3 x - 35}{x ^{2} - 5 x} = ...$

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

nilai adalah .

nilai $begin mathsize 14px style limit as x rightwards arrow 5 of space fraction numerator 2 x squared minus 3 x minus 35 over denominator x squared minus 5 x end fraction end style$ adalah

Pembahasan

Limit fungsi aljabar adalah menentukan nilai fungsi aljabar jika peubah fungsi tersebut mendekati nilai tertentu. Jadi, nilai adalah .

Limit fungsi aljabar adalah menentukan nilai fungsi aljabar jika peubah fungsi tersebut mendekati nilai tertentu.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 5 of space fraction numerator 2 x squared minus 3 x minus 35 over denominator x squared minus 5 x end fraction end cell equals cell limit as x rightwards arrow 5 of space fraction numerator left parenthesis 2 x plus 7 right parenthesis left parenthesis x minus 5 right parenthesis over denominator x open parentheses x minus 5 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 5 of space fraction numerator left parenthesis 2 x plus 7 right parenthesis up diagonal strike left parenthesis x minus 5 right parenthesis end strike over denominator x up diagonal strike open parentheses x minus 5 close parentheses end strike end fraction end cell row blank equals cell limit as x rightwards arrow 5 of space fraction numerator 2 x plus 7 over denominator x end fraction end cell row blank equals cell fraction numerator 2 left parenthesis 5 right parenthesis plus 7 over denominator 5 end fraction end cell row blank equals cell fraction numerator 10 plus 7 over denominator 5 end fraction end cell row blank equals cell 17 over 5 end cell end table end style$

Jadi, nilai $begin mathsize 14px style limit as x rightwards arrow 5 of space fraction numerator 2 x squared minus 3 x minus 35 over denominator x squared minus 5 x end fraction end style$ adalah .