chứng minh rằng A=1\2-2\2^2+3\2^3-4\2^4+.......+99\2^99-100\2^100<2\9

ai đúng mình lik cho nha

Chứng minh rằng A=1/2-2/2²+3/2³-4/2⁴+.....+99/2⁹⁹-100/2^100<2/9

Chứng minh rằng : A = \(\dfrac{1}{2}-\dfrac{2}{2^2}+\dfrac{3}{2^3}-\dfrac{4}{2^4}+....+\dfrac{99}{2^{99}}-\dfrac{100}{2^{100}}< \dfrac{2}{9}\)

chứng minh rằng:

A=1/2-2/2²+3/2³-4/2⁴+...+99/2⁹⁹-100/2¹⁰⁰<2/9

chứng minhA=1/2-2/2^2+3/2^3-4/2^4+...+99/2^99-100/2^100<2/9

\(\frac{1}{2}-\frac{-2}{2^2}+\frac{3}{2^3}-\frac{4}{2^4}+\frac{4}{2^5}+...+\frac{99}{2^{99}}-\frac{100}{2^{100}}< \frac{2}{9}\)

Chứng minh

Chứng minh rằng : A= \(\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3}-\frac{4}{2^4}+....+\frac{99}{2^{99}}-\frac{100}{2^{100}}< \frac{2}{9}\)\(\frac{2}{9}\)

chứng minh rằng :

\(A=\frac{1}{2}-\frac{2}{^{2^2}}+\frac{3}{2^3}-\frac{4}{2^4}+.....+\frac{99}{2^{99}}-\frac{100}{2^{100}}<\frac{2}{9}\)

Chứng minh rằng:

\(A=\frac{1}{2}-\frac{2}{2^2}+\frac{3}{2^3}-\frac{4}{2^4}+...+\frac{99}{2^{99}}-\frac{100}{2^{100}}<\frac{2}{9}\)