Pertanyaan

x → 5 lim x 2 − 4 x + 1 2 x − 3

$x \to 5 lim \frac{2 x - 3}{x ^{2} - 4 x + 1}$

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator 2 x minus 3 over denominator x squared minus 4 x plus 1 end fraction equals 7 over 6 end style$

Pembahasan

Nilai limit dapat ditentukan sebagai berikut. Dengan demikian,

Nilai limit $begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator 2 x minus 3 over denominator x squared minus 4 x plus 1 end fraction end style$ dapat ditentukan sebagai berikut.

$begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator 2 x minus 3 over denominator x squared minus 4 x plus 1 end fraction equals fraction numerator 2 open parentheses 5 close parentheses minus 3 over denominator open parentheses 5 close parentheses squared minus 4 open parentheses 5 close parentheses plus 1 end fraction equals 7 over 6 end style$

Dengan demikian, $begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator 2 x minus 3 over denominator x squared minus 4 x plus 1 end fraction equals 7 over 6 end style$