Question

So sánh 1/2 + 1/2² + 1/2³ +....+ 1/2¹⁰⁰ với 1

Answer 1

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

2A = \(1+\frac{1}{2}+.....+\frac{1}{2^{99}}\)

A = 2A - A = \(1-\frac{1}{2^{100}}

Answer 2

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