Pertanyaan

l i m x → 3 x − 3 3 x 12 − 9 = ....

$l i m_{x \to 3} \frac{3 x ^{12} - 9}{x - 3} = ....$

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Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell L i m subscript x rightwards arrow 3 end subscript fraction numerator cube root of root index blank of x to the power of 12 end root end root plus 3 over denominator x minus 3 end fraction end cell equals cell fraction numerator open parentheses open parentheses x to the power of 12 close parentheses to the power of 1 half end exponent close parentheses to the power of bevelled 1 third end exponent minus 9 over denominator x minus 3 end fraction end cell row blank equals cell fraction numerator x cubed minus 9 over denominator x minus 3 end fraction equals fraction numerator left parenthesis x minus 3 right parenthesis left parenthesis x plus 3 right parenthesis over denominator left parenthesis x minus 3 right parenthesis end fraction end cell row cell space space end cell equals cell x plus 3 end cell row blank equals cell 3 plus 3 end cell row blank equals 6 end table$