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Tentukan nilai limit berikut menggunakan cara pemfaktoran 

begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction end style       

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction equals 1 fourth end style

Pembahasan

begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction end style

Dengan terlebih dahulu melakukan pemfaktoran diperoleh 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator open parentheses square root of x minus 2 close parentheses open parentheses square root of x plus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator 1 over denominator open parentheses square root of x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 4 plus 2 end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 plus 2 end fraction end cell row blank equals cell 1 fourth end cell end table end style 

Jadi begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction equals 1 fourth end style

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