Roboguru

Nilai

Pertanyaan

Nilai begin mathsize 14px style limit as x rightwards arrow negative 3 of fraction numerator x squared minus 9 over denominator 3 minus square root of 2 x plus 15 end root end fraction equals horizontal ellipsis end style

  1. begin mathsize 14px style horizontal ellipsis end style 

  2. begin mathsize 14px style horizontal ellipsis end style 

Pembahasan Soal:

Permasalahan limit di atas diselesaikan dengan metode mengalikan akar sekawan.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell lim with italic x yields minus sign 3 below fraction numerator italic x squared minus sign 9 over denominator 3 minus sign square root of 2 italic x plus 15 end root end fraction end cell row blank equals cell lim with x yields minus sign 3 below fraction numerator italic x squared minus sign 9 over denominator 3 minus sign square root of 2 italic x plus 15 end root end fraction middle dot fraction numerator 3 plus square root of 2 italic x plus 15 end root over denominator 3 plus square root of 2 italic x plus 15 end root end fraction end cell row blank equals cell lim with x yields minus sign 3 below fraction numerator open parentheses italic x squared minus sign 9 close parentheses open parentheses 3 plus square root of 2 italic x plus 15 end root close parentheses over denominator 9 minus sign open parentheses 2 x plus 15 close parentheses end fraction end cell row blank equals cell lim with x yields minus sign 3 below fraction numerator open parentheses italic x squared minus sign 9 close parentheses open parentheses 3 plus square root of 2 italic x plus 15 end root close parentheses over denominator negative sign 2 x minus sign 6 end fraction end cell row blank equals cell lim with x yields minus sign 3 below fraction numerator up diagonal strike open parentheses x plus 3 close parentheses end strike open parentheses x minus sign 3 close parentheses open parentheses 3 plus square root of 2 italic x plus 15 end root close parentheses over denominator negative sign 2 up diagonal strike open parentheses x plus 3 close parentheses end strike end fraction end cell row blank equals cell lim with x yields minus sign 3 below fraction numerator open parentheses x minus sign 3 close parentheses open parentheses 3 plus square root of 2 italic x plus 15 end root close parentheses over denominator negative sign 2 end fraction end cell row blank equals cell fraction numerator open parentheses negative sign 3 minus sign 3 close parentheses open parentheses 3 plus square root of 2 open parentheses negative sign 3 close parentheses plus 15 end root close parentheses over denominator negative sign 2 end fraction end cell row blank equals cell fraction numerator open parentheses negative sign 6 close parentheses open parentheses 3 plus square root of 9 close parentheses over denominator negative sign 2 end fraction end cell row blank equals cell fraction numerator open parentheses negative sign 6 close parentheses open parentheses 3 plus 3 close parentheses over denominator negative sign 2 end fraction end cell row blank equals 18 end table end style

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 09 Februari 2021

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