Roboguru

begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 4 x cubed minus 7 x squared plus 9 x over denominator x squared minus 3 x end fraction equals.... end style 

Jawaban:

Diketahui begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 4 x cubed minus 7 x squared plus 9 x over denominator x squared minus 3 x end fraction end style, limit tersebut akan diselesaikan dengan metode pemfaktoran sebagai berikut:

begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator 4 x cubed minus 7 x squared plus 9 x over denominator x squared minus 3 x end fraction equals limit as x rightwards arrow 0 of fraction numerator x left parenthesis 4 x squared minus 7 x plus 9 right parenthesis over denominator x left parenthesis x minus 3 right parenthesis 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 space equals limit as x rightwards arrow 0 of fraction numerator 4 x squared minus 7 x plus 9 over denominator x minus 3 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 space equals fraction numerator 4 left parenthesis 0 right parenthesis squared minus 7 left parenthesis 0 right parenthesis plus 9 over denominator 0 minus 3 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 space equals fraction numerator 0 minus 0 plus 9 over denominator 0 minus 3 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 space equals fraction numerator 9 over denominator negative 3 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 space equals negative 3 end style 

Jadi, nilai limit tersebut adalah begin mathsize 14px style negative 3 end style.

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