\(\frac{1}{4028}< \left(\frac{1}{2}\cdot\frac{3}{4}\cdot\frac{5}{6}\cdot.......\cdot\frac{2011}{2012}\cdot\frac{2013}{2014}\right)^2< \frac{1}{2015}\)
Tìm x biết:
a)(x-5)x+2014-(x-5)x+2015
b)\(\frac{x-1}{2014}+\frac{x-2}{2013}+\frac{x-3}{2012}=\frac{x-10}{2005}+\frac{x-11}{2004}+\frac{x-12}{2003}\)
Tìm x:
\(\frac{x+5}{2015}+\frac{x+6}{2014}+\frac{x+7}{2013}+\frac{x+8}{2012}+\frac{x+9}{2011}=-5\)
Giải phương trình :\(\frac{x+1}{2015}+\frac{x+2}{2014}+\frac{x+3}{2013}+\frac{x+4}{2012}+\frac{x+5}{2011}+\frac{x+6}{2010}=0\)
tim x
\(\frac{x+1}{2016}+\frac{x+2}{2015}+\frac{x+3}{2014}=\frac{x+4}{2013}+\frac{x+5}{2012}+\frac{x+6}{2011}\)
A=2012/2013+2013/2014, B=2012+2013/2013+2014. So sanh A va B
Câu 1:
a)Cho A=\(\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3}+\frac{4}{2^4}+\frac{5}{5^2}+...+\frac{99}{2^{99}}+\frac{100}{2^{100}}\). So sánh A với B
b) Cho B= x2013 - 2014.x2012 + 2014.x2011 - 2014.x2010 +...- 2014.x2 + 2014.x - 1. Tính giá trị biểu thức với x=2013
so sanh \(y=\frac{2012^{2012}}{2013^{2013}}\) va \(z=\frac{2012^{2012}+2012}{2013^{2013}+2013}\)
cho đa thức f(x)=\(x\left(\frac{x^{2013}}{3}-\frac{x^{2014}}{5}+\frac{x^{2015}}{7}+\frac{x^2}{2}\right)-\)\(\left(\frac{x^{2014}}{3}-\frac{x^{2015}}{5}+\frac{x^{2016}}{7}+\frac{x^2}{2}\right)\).chứng minh đa thức f(x) nhận giá trị nguyên với mọi giá trị x nguyên