Question

so sánh:  \(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+.........+\frac{1}{2^{100}}\)với 1

Answer 1

\(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{100}}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{2^2}+\frac{1}{2^2}-\frac{1}{2^3}+...+\frac{1}{2^{99}}-\frac{1}{2^{100}}\)

\(=1-\frac{1}{2^{100}}

Answer 2

2/100

Answer 3

sao ko chon minh

Answer 4

ai k ho cai minh

Answer 5

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Answer 6

\(\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{100}}\)

\(=\frac{1}{1}-\frac{1}{2^{100}}\)

\(1-\frac{1}{2^{100}}< 1\)