mn ơi giúp mk vs
1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=?
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\(\left(2013.2014+2014.2015+2015.2016\right).\left(1+\frac{1}{3}-1-\frac{1}{3}\right)\)
\(=\left(2013.2014+2014.2015+2015.2016\right).0\)
= 0
nè mình gợi ý cho gọi a= 1-1/2-1/2^2-1/2^3-......... ......1/2^2014 1 / 2^2>1 / 2.3 1/2^3>1/3.4 ................ 1/2^2014<1/2014.2015 nen 1-1/2-1/2^2-1/2^3-.........................1/^2014>1-1/1.2-1/2.3-1/3.4-........................1/2014.2015 a<1-[1-1/2015] a<1-2014/2015 a<1/2015
\(\left(2x-1\right)^3-8\left(x-1\right)\left(x^2+x+1\right)+12x^2=2x+1\)
\(\Leftrightarrow8x^3-12x^2+6x-1-8\left(x^3-1\right)+12x^2-2x-1=0\)
\(\Leftrightarrow4x+6=0\)
\(\Leftrightarrow2\left(2x+3\right)=0\)
\(\Leftrightarrow2x=-3\)
\(\Leftrightarrow x=\frac{-3}{2}\)
\(A=\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{2019}\right)\)
\(A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.....\frac{2018}{2019}\)
\(A=\frac{1.2.3.....2018}{2.3.4....2019}\)
\(A=\frac{1}{2019}\)
\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)\left(1-\frac{1}{5}\right)...\left(1-\frac{1}{2019}\right)\)
\(A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}...\frac{2018}{2019}\)
\(A=\frac{1}{2019}\)
Bn ơi tk cho mk nha!!!!!!!!!!!
=(2^2-1)*(2^2+1)*(2^4+1)*...*(2^64+1)
=(2^4-1)(2^2+1)*(2^4+1)*...*(2^64+1)
=(2^8-1)(2^8+1)*...*(2^64+1)
=...
=(2^64-1)(2^64+1)
=2^128-1
mk vua lm ra do!!!!!!
HPT : \(\hept{\begin{cases}\frac{1}{x}+\frac{1}{y}=\frac{5}{36}\\\frac{4}{x}+\frac{3}{y}=\frac{1}{2}\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}\frac{3}{x}+\frac{3}{y}=\frac{5}{12}\left(1\right)\\\frac{4}{x}+\frac{3}{y}=\frac{1}{2}\left(2\right)\end{cases}}\)
Từ (1) và (2), lấy vế trừ vế ta được :
\(\Leftrightarrow\left(\frac{4}{x}+\frac{3}{y}\right)-\left(\frac{3}{x}+\frac{3}{y}\right)=\frac{1}{2}-\frac{5}{12}\)
\(\Leftrightarrow\frac{1}{x}=\frac{1}{12}\)
\(\Leftrightarrow\frac{1}{y}=\frac{5}{36}-\frac{1}{x}=\frac{5}{36}-\frac{1}{12}=\frac{1}{18}\)
\(\Leftrightarrow\hept{\begin{cases}x=12\\y=18\end{cases}}\)
a) Ta có: \(A=\left(\frac{1}{2}-1\right).\left(\frac{1}{3}-1\right)...\left(\frac{1}{10}-1\right)=\frac{-1}{2}.\frac{-2}{3}...\frac{-9}{10}=\frac{-\left(1.2.3...9\right)}{2.3.4...10}=-\frac{1}{10}\)
b) Ta có : \(B=\left(\frac{1}{4}-1\right)\left(\frac{1}{9}-1\right)....\left(\frac{1}{100}-1\right)=\frac{-3}{4}.\frac{-8}{9}....\frac{-99}{100}=-\frac{3.8....99}{\left(2.3...10\right)\left(2.3...10\right)}\)
\(=-\frac{1.3.2.4...9.11}{\left(2.3....10\right)\left(2.3...10\right)}=\frac{\left(1.2.3...10\right).\left(3.4..10.11\right)}{\left(2.3...10\right).\left(2.3.4...10\right)}=\frac{11}{2}=5,5\)
c) Ta có : \(C=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)...\left(1-\frac{1}{n+1}\right)=\frac{1}{2}.\frac{2}{3}...\frac{n}{n+1}=\frac{1.2...n}{2.3...\left(n+1\right)}=\frac{1}{n+1}\)
(2013.2014+2014.2015+2015.2016)(1+\(\frac{1}{3}-1-\frac{1}{3}\))
=(2013.2014+2014.2015+2015.2016).0
=0
à bài này dễ mà
đầu tiên nhá:không biết,tiếp theo:ko biết.Thế thôi còn lại bạn tự giải
bạn sử dụng hằng đẳng thức nhé .Mình bít nhg lười viết nắm
bn nào trả lời đúng, mk kb lun nha