Tính :
\(\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x.......x\left(1-\frac{1}{2014}\right)x\left(1-\frac{1}{2015}\right)\)
Trả lời đầy đủ .Dấu x là dấy nhân.Đầy đủ sẽ được tick nhanh nhá
A=(1-\(\frac{1}{2}\))x(1-\(\frac{1}{3}\))x(1- \(\frac{1}{4}\) )x....x(1-\(\frac{1}{2014}\) )x(1-\(\frac{1}{2015}\) )
A=
Nhập phân số tối giản
Tìm x(x>0)
\(\frac{2015}{2014}+\frac{1}{x}=\frac{1}{x+1}+\frac{2014}{2013}\)
\(A=\left(6:\frac{3}{5}-1\frac{1}{6}x\frac{6}{7}\right):\left(4\frac{1}{5}x\frac{10}{11}+5\frac{2}{11}\right)\)\(B=\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{4}\right)x.......x\left(1-\frac{1}{2015}\right)x\left(1-\frac{1}{2016}\right)\)
\(C=5\frac{9}{10}:\frac{3}{2}-\left(2\frac{1}{3}x4\frac{1}{2}-2x2\frac{1}{3}\right):\frac{7}{4}\)
a) ( 1-\(\frac{1}{2}\)) x ( 1-\(\frac{1}{3}\)) x ( 1- \(\frac{1}{4}\)) x ( 1-\(\frac{1}{5}\)) x .... x ( 1-\(\frac{1}{2014}\)) x ( 1- \(\frac{1}{2015}\)).
Chứng minh rằng:
( 1 - \(\frac{1}{2}\)) x ( 1 - \(\frac{1}{3}\)) x ( 1 - \(\frac{1}{4}\)) x .... x ( 1 - \(\frac{1}{2014}\)) > \(\frac{1}{2015}\)
C=\(\left(1+\frac{1}{2}\right)x\left(1+\frac{1}{3}\right)x\left(1+\frac{1}{4}\right)x......x\left(1+\frac{1}{2015}\right)\)
Tính nhanh : \(\frac{2017+\frac{1}{2016}+\frac{2}{2015}+\frac{3}{2014}+...+\frac{2015}{2}+\frac{2016}{1}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2015}+\frac{1}{2016}}\)
Tính nhanh : \(\frac{1}{2}x\frac{1}{2}+\frac{1}{2}x\frac{1}{3}+\frac{1}{3}x\frac{1}{4}+\frac{1}{4}x\frac{1}{5}+\frac{1}{5}x\frac{1}{6}\)