so sánh:
\(\frac{1}{4}+\frac{2}{4^2}+\frac{3}{4^3}+\frac{4}{4^4}+...+\frac{2015}{4^{2015}}\)với \(\frac{1}{2}\)

So sánh:

\(\frac{1}{4}+\frac{2}{4^2}+\frac{3}{4^3}+\frac{4}{4^4}+...+\frac{2015}{4^{2015}}\)với \(\frac{1}{2}\)

so sánh:

\(\frac{1}{4}+\frac{2}{4^2}+\frac{3}{4^3}+\frac{4}{4^4}+...+\frac{2015}{4^{2015}}\)với \(\frac{1}{2}\)

so sánh:

\(\frac{1}{4}+\frac{2}{4^2}+\frac{3}{4^3}+\frac{4}{4^4}+...+\frac{2015}{4^{2015}}\)với \(\frac{1}{2}\)

So sánh:

A=\(\frac{2}{4^2}+\frac{3}{4^3}+\frac{4}{4^4}+...+\frac{2015}{4^{2015}}\)với\(\frac{1}{2}\)

so sánh:
\(\frac{1}{4}+\frac{2}{4^2}+\frac{3}{4^3}+\frac{4}{4^4}+...+\frac{2015}{4^{2015}}\) với \(\frac{1}{2}\)

Nhới giải chi tiết giùm mình nhé

Cho M=\(\frac{\sqrt{2}-\sqrt{1}}{1+1}+\frac{\sqrt{3}-\sqrt{2}}{2+3}+\frac{\sqrt{4}-\sqrt{3}}{3+4}+...+\frac{\sqrt{2015}-\sqrt{2014}}{2014+2015}\)

Hãy so sánh M với 1/2

Cho M=\(\frac{1}{4}-\frac{2}{4^2}+\frac{3}{4^3}-\frac{4}{4^4}+...+\frac{2015}{4^{2015}}-\frac{2016}{4^{2016}}\).Chứng minh M<\(\frac{4}{25}\)

\(S=\frac{1}{4}+ \frac{2}{4_{ }^2}+\frac{3}{4^3}+\frac{4}{4^4}+...+\frac{2015}{4^{2015}}.\)Chứng minhb rằng :S < \(\frac{1}{2}\frac{ }{ }\)