Pertanyaan

Nilai dari x → ∞ lim 9 x 2 + 18 x − 5 − ( 3 x − 2 )) = ...

Nilai dari $x \to \infty lim 9 x^{2} + 18 x - 5 - (3 x - 2)) = ...$

8 dari 10 siswa nilainya naik

dengan paket belajar pilihan

Habis dalam

Klaim

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of square root of 9 x squared plus 18 x minus 5 end root minus left parenthesis 3 x minus 2 right parenthesis right parenthesis cross times fraction numerator square root of 9 x squared plus 18 x minus 5 end root plus left parenthesis 3 x minus 2 right parenthesis right parenthesis over denominator left parenthesis square root of 9 x squared plus 18 x minus 5 end root plus left parenthesis 3 x minus 2 right parenthesis right parenthesis end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses 9 x squared plus 18 x minus 5 close parentheses minus open parentheses 3 x minus 2 close parentheses squared over denominator square root of 9 x squared plus 18 x minus 5 end root plus left parenthesis 3 x minus 2 right parenthesis right parenthesis end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses 9 x squared plus 18 x minus 5 close parentheses minus open parentheses 9 x squared minus 12 x plus 4 close parentheses over denominator left parenthesis square root of 9 x squared plus 18 x minus 5 end root plus left parenthesis 3 x minus 2 right parenthesis right parenthesis end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 9 x squared plus 18 x minus 5 minus 9 x squared plus 12 x minus 4 over denominator left parenthesis square root of 9 x squared plus 18 x minus 5 end root plus left parenthesis 3 x minus 2 right parenthesis right parenthesis end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 30 x minus 9 over denominator left parenthesis square root of 9 x squared plus 18 x minus 5 end root plus left parenthesis 3 x minus 2 right parenthesis right parenthesis end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator begin display style 1 over x end style over denominator begin display style 1 over x end style end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator begin display style fraction numerator 30 x over denominator x end fraction minus 9 over x end style over denominator open parentheses square root of begin display style fraction numerator 9 x squared over denominator x squared end fraction plus fraction numerator 18 x over denominator x squared end fraction minus 5 over x squared end style end root plus open parentheses begin display style fraction numerator 3 x over denominator x end fraction minus 2 over x end style close parentheses close parentheses end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 30 minus begin display style 9 over x end style over denominator open parentheses square root of 9 plus begin display style 18 over x end style minus begin display style 5 over x squared end style end root plus 3 minus begin display style 2 over x end style close parentheses end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell fraction numerator 30 minus begin display style 0 end style over denominator left parenthesis square root of 9 plus begin display style 0 end style minus begin display style 0 end style end root plus 3 minus begin display style 0 end style right parenthesis end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell fraction numerator 30 over denominator 3 plus 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 cell 30 over 6 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 5 end table end style$