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Tentukan nilai dari limit as x rightwards arrow 2 of fraction numerator x squared minus 4 x plus 4 over denominator x minus 2 end fraction equals....

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

 limit as x rightwards arrow 2 of fraction numerator x squared minus 4 x plus 4 over denominator x minus 2 end fraction equals 0.

Pembahasan

Untuk menyelesaikan limit tersebut, gunakan cara pemfaktoran.


table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared minus 4 x plus 4 over denominator x minus 2 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x minus 2 close parentheses up diagonal strike left parenthesis x minus 2 right parenthesis end strike over denominator up diagonal strike left parenthesis x minus 2 right parenthesis end strike end fraction end cell row blank equals cell limit as x rightwards arrow 2 of open parentheses x minus 2 close parentheses end cell row blank equals cell 2 minus 2 end cell row blank equals 0 end table


Jadi limit as x rightwards arrow 2 of fraction numerator x squared minus 4 x plus 4 over denominator x minus 2 end fraction equals 0.

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