Pertanyaan

Nilai dari l i m x → 1 ( x − 1 x 2 − 5 x + 4 ) = .....

Nilai dari $l i m_{x \to 1} (\frac{x ^{2} - 5 x + 4}{x - 1}) = .....$

-3
-2
-1
3
5

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A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Limit fungsi di atas menghasilkan bentuk tak tentu, maka kita perlu melakukan faktorisasi terhadap fungsinya terlebih dahulu.

$begin mathsize 14px style stack l i m with x rightwards arrow 1 below space left parenthesis fraction numerator x squared minus 5 x plus 4 over denominator x minus 1 end fraction right parenthesis space equals space stack l i m with x rightwards arrow 1 below space fraction numerator up diagonal strike left parenthesis x minus 1 end strike right parenthesis left parenthesis x minus 4 right parenthesis over denominator up diagonal strike x minus 1 end strike end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space stack l i m with x rightwards arrow 1 below space left parenthesis x minus 4 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 minus 4 equals negative 3 end style$