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Pertanyaan

Tentukan nilai Iimit berikut. c. x → 2 lim ​ 2 x ​ − 8 ​ 3 x ​ − 6 ​ ​

Tentukan nilai Iimit berikut. 

c.       

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

begin mathsize 14px style space space space space limit as x rightwards arrow 2 of fraction numerator square root of 3 x end root minus square root of 6 over denominator 2 square root of x minus square root of 8 end fraction times fraction numerator square root of 3 x end root plus square root of 6 over denominator square root of 3 x end root plus square root of 6 end fraction times fraction numerator 2 square root of x plus square root of 8 over denominator 2 square root of x plus square root of 8 end fraction left right double arrow limit as x rightwards arrow 2 of fraction numerator open parentheses 3 x minus 6 close parentheses open parentheses 2 square root of x plus square root of 8 close parentheses over denominator open parentheses 4 x minus 8 close parentheses open parentheses square root of 3 x end root plus square root of 6 close parentheses end fraction left right double arrow limit as x rightwards arrow 2 of fraction numerator 3 open parentheses x minus 2 close parentheses open parentheses 2 square root of x plus 8 close parentheses over denominator 4 open parentheses x minus 2 close parentheses open parentheses square root of 3 x end root plus square root of 6 close parentheses end fraction left right double arrow fraction numerator 3 open parentheses 2 square root of 2 plus square root of 8 close parentheses over denominator 4 open parentheses square root of 3 times 2 end root plus square root of 6 close parentheses end fraction left right double arrow fraction numerator 12 square root of 2 over denominator 6 square root of 6 end fraction times fraction numerator square root of 6 over denominator square root of 6 end fraction left right double arrow 4 over 6 square root of 3 left right double arrow 2 over 3 square root of 3 end style 

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