Pertanyaan

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

$x \to 0 lim \frac{5 x s in x}{8 + cos x - 8 - cos x} = \dots + 3 m u .$

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Habis dalam

Klaim

F. Kurnia

Master Teacher

Mahasiswa/Alumni Universitas Jember

Jawaban terverifikasi

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$