Pertanyaan

Nilai dari x → 0 lim x 3 − 2 x + 9 = ....

Nilai dari $x \to 0 lim \frac{3 - 2 x + 9}{x} = ....$

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

Nilai

Nilai $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 minus square root of 2 straight x plus 9 end root over denominator straight x end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 third end cell end table end style$

Pembahasan

Dengan metode perkalian sekawan, maka penyelesaiannya adalah: Jadi, Nilai

Dengan metode perkalian sekawan, maka penyelesaiannya adalah:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 0 of fraction numerator 3 minus square root of 2 straight x plus 9 end root over denominator straight x end fraction end cell equals cell limit as straight x rightwards arrow 0 of fraction numerator 3 minus square root of 2 straight x plus 9 end root over denominator straight x end fraction times fraction numerator left parenthesis 3 plus square root of 2 straight x plus 9 end root right parenthesis over denominator left parenthesis 3 plus square root of 2 straight x plus 9 end root right parenthesis end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator 9 minus left parenthesis 2 straight x plus 9 right parenthesis over denominator straight x left parenthesis 3 plus square root of 2 straight x plus 9 end root right parenthesis end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator 9 minus 2 straight x minus 9 over denominator straight x left parenthesis 3 plus square root of 2 straight x plus 9 end root right parenthesis end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator negative 2 straight x over denominator straight x left parenthesis 3 plus square root of 2 straight x plus 9 end root right parenthesis end fraction end cell row blank equals cell limit as straight x rightwards arrow 0 of fraction numerator negative 2 over denominator left parenthesis 3 plus square root of 2 straight x plus 9 end root right parenthesis end fraction end cell row blank equals cell fraction numerator negative 2 over denominator left parenthesis 3 plus square root of 2 times 0 plus 9 end root right parenthesis end fraction end cell row blank equals cell fraction numerator negative 2 over denominator left parenthesis 3 plus square root of 9 right parenthesis end fraction end cell row blank equals cell fraction numerator negative 2 over denominator left parenthesis 3 plus 3 right parenthesis end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 6 end fraction end cell row blank equals cell negative 1 third end cell end table end style$

Jadi, Nilai $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 minus square root of 2 straight x plus 9 end root over denominator straight x end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 third end cell end table end style$