a) Tính S = \(\dfrac{2+2^2+2^3+...+2^{2017}}{1-2^{2017}}\)
b) Cho A = \(\dfrac{1}{2017}\)+ \(\dfrac{2}{2017^2}\) + \(\dfrac{3}{2017^3}\) + ... + \(\dfrac{2017}{2017^{2017}}\) + \(\dfrac{2018}{2017^{2018}}\)
Chứng minh tằng A < \(\dfrac{2017}{2016^2}\)
Nhanh lên nha chiều mình học rồi
BT1: So sánh:
2) \(\dfrac{2017}{2018}+\dfrac{2018}{2019}\) VỚI \(\dfrac{2017+2018}{2018+2019}\)
so sánh:
A=\(\dfrac{2017^{2017}+1}{2017^{2018}+1}\)và B=\(\dfrac{2017^{2018}-2}{2017^{2019}-2}\)
A= \(\dfrac{2016}{2017}+\dfrac{2017}{2018}\) và B = 2
\(Tính: B = \dfrac{2 - \dfrac{2}{19} + \dfrac{2}{43} - \dfrac{2}{2017}}{3 - \dfrac{3}{19} + \dfrac{3}{43} - \dfrac{3}{2017}} :\dfrac{4 - \dfrac{4}{29} + \dfrac{4}{41} - \dfrac{4}{2018}}{5 - \dfrac{5}{29} + \dfrac{5}{41} - \dfrac{5}{2018}} \)
Không dùng máy tính cầm tay hãy so sánh
A = \(\dfrac{2017^{2017}+1}{2017^{2018}+1}\) và \(\dfrac{2017^{2016}+1}{2017^{2017}+1}\)
\(2017+\dfrac{2017}{2}+\dfrac{2017}{2^2}+\dfrac{2017}{2^3}+...+\dfrac{2017}{2^{2017}}\)
Giải típ hộ mik nha !
\(\dfrac{1}{2}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{n.\left(n+1\right)}=\dfrac{2016}{2017}=\dfrac{1}{2.3}=\dfrac{1}{2}-\dfrac{1}{n+1}=\dfrac{2016}{2017}=\dfrac{n+1-2}{2.\left(n+1\right)}=\dfrac{2016}{2017}=\dfrac{n-1}{2.\left(n+1\right)}=\dfrac{2016}{2017}=2017.\left(n-1\right)=2016.2\left(n+1\right)=...\)
BT1: So sánh:
1) \(\dfrac{2017}{2018}+\dfrac{2018}{2019}+\dfrac{2019}{2020}\) VỚI 3