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Tentukan nilai limit berikut menggunakan cara pemfaktoran 

begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x squared minus x minus 6 over denominator x squared minus 7 x plus 12 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 3 of fraction numerator x squared minus x minus 6 over denominator x squared minus 7 x plus 12 end fraction equals negative 5 end style

Pembahasan

begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x squared minus x minus 6 over denominator x squared minus 7 x plus 12 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 3 of fraction numerator x squared minus x minus 6 over denominator x squared minus 7 x plus 12 end fraction end cell equals cell limit as x rightwards arrow 3 of fraction numerator open parentheses x minus 3 close parentheses open parentheses x plus 2 close parentheses over denominator open parentheses x minus 3 close parentheses open parentheses x minus 4 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 3 of fraction numerator open parentheses x plus 2 close parentheses over denominator open parentheses x minus 4 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 3 close parentheses plus 2 over denominator open parentheses 3 close parentheses minus 4 end fraction end cell row blank equals cell fraction numerator 5 over denominator negative 1 end fraction end cell row blank equals cell negative 5 end cell end table end style 

Jadi begin mathsize 14px style limit as x rightwards arrow 3 of fraction numerator x squared minus x minus 6 over denominator x squared minus 7 x plus 12 end fraction equals negative 5 end style

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