Thiếu đề nhé:
\(C=\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{9}\right)\left(1-\dfrac{1}{16}\right)\left(1-\dfrac{1}{25}\right)...\left(1-\dfrac{1}{100}\right)\)
\(C=\dfrac{3}{4}.\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}...\dfrac{99}{100}\)
\(C=\dfrac{1.3}{2.2}.\dfrac{2.4}{3.3}.\dfrac{3.5}{4.4}.\dfrac{4.6}{5.5}...\dfrac{9.11}{10.10}\)
\(C=\dfrac{1.3.2.4.3.5.4.6....9.11}{2.2.3.3.4.4.5.5...10.10}\)
\(C=\dfrac{1.2.3.4...9}{2.3.4.5....10}.\dfrac{3.4.5.6...11}{2.3.4.5.....10}\)
\(C=\dfrac{1}{10}.\dfrac{11}{2}\)
\(C=\dfrac{11}{20}\)
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