Roboguru

Pertanyaan

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  

Pembahasan Soal:

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 0 of fraction numerator 4 x cubed minus 7 x squared plus 9 x over denominator x squared minus 3 x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator x open parentheses 4 x squared minus 7 x plus 9 close parentheses over denominator x open parentheses x minus 3 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 4 x squared minus 7 x plus 9 over denominator x minus 3 end fraction end cell row blank equals cell fraction numerator 4 open parentheses 0 close parentheses squared minus 7 open parentheses 0 close parentheses plus 9 over denominator 0 minus 3 end fraction end cell row blank equals cell fraction numerator 0 minus 0 plus 9 over denominator negative 3 end fraction end cell row blank equals cell fraction numerator 9 over denominator negative 3 end fraction end cell row blank equals cell negative 3 end cell end table end style 

Jadi begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 x cubed minus 7 x squared plus 9 x over denominator x squared minus 3 x end fraction end cell end table equals negative 3 end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 14 Maret 2021

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