Pertanyaan

Nilai dari x → − 3 lim x + 3 5 x 2 + 14 x − 3 = ...

Nilai dari $x \to - 3 lim \frac{5 x ^{2} + 14 x - 3}{x + 3} = ...$

8 dari 10 siswa nilainya naik

dengan paket belajar pilihan

Habis dalam

Klaim

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

.

$limit as x rightwards arrow negative 3 of fraction numerator 5 x squared plus 14 x minus 3 over denominator x plus 3 end fraction equals negative 16$ .

Pembahasan

Untuk mencari nilai limit fungsi rasional, kita faktorkan fungsinya. Jadi .

Untuk mencari nilai limit fungsi rasional, kita faktorkan fungsinya.

5 x squared plus 14 x minus 3 equals open parentheses 5 x minus 1 close parentheses open parentheses x plus 3 close parentheses

$limit as x rightwards arrow negative 3 of fraction numerator 5 x squared plus 14 x minus 3 over denominator x plus 3 end fraction equals limit as x rightwards arrow negative 3 of fraction numerator open parentheses 5 x minus 1 close parentheses up diagonal strike open parentheses x plus 3 close parentheses end strike over denominator up diagonal strike left parenthesis x plus 3 right parenthesis end strike end fraction equals limit as x rightwards arrow negative 3 of open parentheses 5 x minus 1 close parentheses equals 5 times left parenthesis negative 3 right parenthesis minus 1 equals negative 15 minus 1 equals negative 16$

Jadi $limit as x rightwards arrow negative 3 of fraction numerator 5 x squared plus 14 x minus 3 over denominator x plus 3 end fraction equals negative 16$ .