Pertanyaan

Nilai x → 3 lim ( x − 3 x 2 + 2 x − 15 − 2 x − 6 x 2 − 3 x ) = …

Nilai $x \to 3 lim (\frac{x ^{2} + 2 x - 15}{x - 3} - \frac{x ^{2} - 3 x}{2 x - 6}) = \dots$

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Habis dalam

Klaim

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow 3 of space open parentheses fraction numerator x squared plus 2 x minus 15 over denominator x minus 3 end fraction minus fraction numerator x squared minus 3 x over denominator 2 x minus 6 end fraction close parentheses equals limit as x rightwards arrow 3 of space open parentheses fraction numerator open parentheses x minus 3 close parentheses open parentheses x plus 5 close parentheses over denominator x minus 3 end fraction minus fraction numerator x open parentheses x minus 3 close parentheses over denominator 2 open parentheses x minus 3 close parentheses end fraction close parentheses equals limit as x rightwards arrow 3 of space open parentheses x plus 5 close parentheses space plus space x equals space 3 plus 5 plus 3 space equals 11$