Pertanyaan

Nilai dari ⎝ ⎛ 1 + 1 + ⎝ ⎛ 1 + 9 1 1 ⎠ ⎞ 1 ⎠ ⎞ adalah....

Nilai dari $⎝ ⎛ 1 + \frac{1}{1 + ⎝ ⎛ \frac{1}{1 + \frac{1}{9}} ⎠ ⎞} ⎠ ⎞$ adalah....

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$space space space space space space 1 space plus space fraction numerator 1 over denominator 1 space plus space open parentheses begin display style fraction numerator 1 over denominator 1 space plus space begin display style 1 over 9 end style end fraction end style close parentheses end fraction equals space space 1 space plus space fraction numerator 1 over denominator 1 space plus space open parentheses begin display style fraction numerator 1 over denominator begin display style 9 over 9 end style space plus space begin display style 1 over 9 end style end fraction end style close parentheses end fraction equals space space 1 space plus thin space fraction numerator 1 over denominator 1 space plus space begin display style fraction numerator 1 over denominator begin display style 10 over 9 end style end fraction end style end fraction equals space space 1 space plus space fraction numerator 1 over denominator 1 space plus space begin display style 9 over 10 end style end fraction equals space space 1 space plus space fraction numerator 1 over denominator begin display style 10 over 10 end style space plus space begin display style 9 over 10 end style end fraction equals space space 1 space plus space fraction numerator 1 over denominator begin display style 19 over 10 end style end fraction equals space space 1 space plus space 10 over 19 equals space space 19 over 19 space plus space 10 over 19 equals space bold space bold 29 over bold 19$

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