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Tentukan nilai: x → 9 lim ​ x ​ − 3 x 2 − 7 x − 18 ​ = ....

Tentukan nilai:    

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S. Siregar

Master Teacher

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Jawaban

i, nilai

i, nilai limit as straight x rightwards arrow 9 of fraction numerator straight x squared minus 7 straight x minus 18 over denominator square root of straight x minus 3 end fraction equals 66 

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Pembahasan

Menentukan nilai limit dengan metode perkalian sekawan: Jadii, nilai

Menentukan nilai limit dengan metode perkalian sekawan:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow 9 of fraction numerator straight x squared minus 7 straight x minus 18 over denominator square root of straight x minus 3 end fraction end cell equals cell limit as straight x rightwards arrow 9 of fraction numerator straight x squared minus 7 straight x minus 18 over denominator left parenthesis square root of straight x minus 3 right parenthesis end fraction times fraction numerator left parenthesis square root of straight x plus 3 right parenthesis over denominator left parenthesis square root of straight x plus 3 right parenthesis end fraction end cell row blank equals cell limit as straight x rightwards arrow 9 of fraction numerator up diagonal strike left parenthesis straight x minus 9 right parenthesis end strike left parenthesis straight x plus 2 right parenthesis left parenthesis square root of straight x plus 3 right parenthesis over denominator up diagonal strike left parenthesis straight x minus 9 right parenthesis end strike end fraction end cell row blank equals cell limit as straight x rightwards arrow 9 of left parenthesis straight x plus 2 right parenthesis left parenthesis square root of straight x plus 3 right parenthesis end cell row blank equals cell left parenthesis 9 plus 2 right parenthesis left parenthesis square root of 9 plus 3 right parenthesis end cell row blank equals cell 11 left parenthesis 6 right parenthesis end cell row blank equals 66 end table 

Jadii, nilai limit as straight x rightwards arrow 9 of fraction numerator straight x squared minus 7 straight x minus 18 over denominator square root of straight x minus 3 end fraction equals 66 

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