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x → 0 lim ​ 8 + cos x ​ − 8 − cos x ​ 5 x s in x ​ = … + 3 m u .

  

  1. 0

  2. 1

  3. 2

  4. 3

  5. 4

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F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

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Pembahasan

limit as x rightwards arrow 0 of invisible function application fraction numerator 5 x s i n x over denominator square root of 8 plus cos invisible function application x end root minus square root of 8 minus cos invisible function application x end root end fraction limit as x rightwards arrow 0 of invisible function application fraction numerator 5 x s i n x over denominator square root of 8 plus cos invisible function application x end root minus square root of 8 minus cos invisible function application x end root end fraction. fraction numerator square root of 8 plus cos invisible function application x end root plus square root of 8 minus cos invisible function application x end root over denominator square root of 8 plus cos invisible function application x end root plus square root of 8 minus cos invisible function application x end root end fraction limit as x rightwards arrow 0 of invisible function application fraction numerator 5 x s i n x open parentheses square root of 8 plus cos invisible function application x end root plus square root of 8 minus cos invisible function application x end root close parentheses over denominator open parentheses 8 plus cos invisible function application x close parentheses minus open parentheses 8 minus cos invisible function application x close parentheses end fraction limit as x rightwards arrow 0 of invisible function application fraction numerator 5 x s i n x open parentheses square root of 8 plus cos invisible function application x end root plus square root of 8 minus cos invisible function application x end root close parentheses over denominator 2 cos invisible function application x end fraction limit as x rightwards arrow 0 of invisible function application 5 x sin invisible function application x limit as x rightwards arrow 0 of fraction numerator open parentheses square root of 8 plus cos invisible function application x end root plus square root of 8 minus cos invisible function application x end root close parentheses over denominator 2 cos invisible function application x end fraction 5 open parentheses 0 close parentheses sin invisible function application open parentheses 0 close parentheses. fraction numerator open parentheses square root of 8 plus cos invisible function application 0 end root plus square root of 8 minus cos invisible function application 0 end root close parentheses over denominator 2 cos invisible function application 0 end fraction 0. fraction numerator 3 plus square root of 7 over denominator 2 end fraction equals 0  

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