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Nilai dari n → ∞ lim ​ ( 1 − n 1 ​ ) 6 n adalah...

Nilai dari  adalah...

  1. begin mathsize 14px style straight e to the power of negative 2 end exponent end style 

  2. begin mathsize 14px style straight e to the power of negative 3 end exponent end style 

  3. begin mathsize 14px style straight e to the power of negative 6 end exponent end style 

  4. begin mathsize 14px style straight e cubed end style 

  5. begin mathsize 14px style straight e to the power of 6 end style 

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Perhatikan bahwa Sehingga

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begin mathsize 14px style limit as straight n rightwards arrow infinity of open parentheses 1 minus 1 over straight n close parentheses to the power of straight n equals straight e to the power of negative 1 end exponent end style 

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight n rightwards arrow infinity of open parentheses 1 minus 1 over straight n close parentheses to the power of 6 straight n end exponent end cell equals cell limit as straight n rightwards arrow infinity of open parentheses open parentheses 1 minus 1 over straight n close parentheses to the power of straight n close parentheses to the power of 6 end cell row blank equals cell open parentheses limit as straight n rightwards arrow infinity of open parentheses 1 minus 1 over straight n close parentheses to the power of straight n close parentheses to the power of 6 end cell row blank equals cell open parentheses straight e to the power of negative 1 end exponent close parentheses to the power of 6 end cell row blank equals cell straight e to the power of negative 6 end exponent end cell end table end style 

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