Pertanyaan

Nilai x → − 3 lim 3 − 2 x + 15 x 2 − 9 = …

Nilai $x \to - 3 lim \frac{x ^{2} - 9}{3 - 2 x + 15} = \dots$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

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$