Các câu hỏi tương tự
\(S=1+\frac{2}{2}+\frac{3}{2^2}+\frac{4}{2^3}+...+\frac{2014}{2^{2013}}+\frac{2015}{2^{2014}}\)cmr S<4
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<\(\frac{4}{25}\)
chứng minh S = \(\frac{1}{1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2015}-\frac{1}{2016}\)
Chứng minh rằng : \(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{2015^2}+\frac{1}{2015}<1\)
Cho A= \(\frac{4+\frac{4}{2012}-\frac{4}{2013}+\frac{4}{2014}-\frac{4}{2015}}{\frac{7}{2014}-\frac{7}{2015}+\frac{7}{2012}-\frac{7}{2013}+7}\)
Và B= \(\frac{1+2+2^2+...+2^{2013}}{2^{2015}-2}\)
Tính A - B
p/S: LM ƠN GIÚP TỚ VS :
so sánh:
\(\frac{1}{4}+\frac{2}{4^2}+\frac{3}{4^3}+\frac{4}{4^4}+...+\frac{2015}{4^{2015}}\)với \(\frac{1}{2}\)
Cho biểu thức sau: \(P=\frac{1}{5}+\frac{2}{5^2}+\frac{3}{5^3}+\frac{4}{5^4}+.....+\frac{2015}{5^{2015}}+\frac{2016}{5^{2016}}\)
Chứng minh 1/4 < P< 1/3
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 \(\frac{1}{2}\)