so sánh A=2017^2017+2/2017^2017-1 và B=2017^2017/2017^2017-3
Cho A= \(\frac{2017^{2017}+2}{2017^{2017}-1}\) và B= \(\frac{2017^{2017}}{2017^{2017}-3}\)
Hãy so sánh A và B.
A=\(\frac{2017^{2017}+2}{2017^{2017}-1}\)=\(\frac{\left(2017^{2017}-1\right)+3}{2017^{2017}-1}\)=\(1\)+\(\frac{3}{2017^{2017}-1}\)
B=\(\frac{2017^{2017}}{2017^{2017}-3}\)=\(\frac{\left(2017^{2017}-3\right)+3}{2017^{2017}-3}\)=\(1\)+\(\frac{3}{2017^{2017}-3}\)
Vì \(2017^{2017}-1\)\(>\)\(2017^{2017}-3\)nên \(\frac{3}{2017^{2017}-1}\)\(< \)\(\frac{3}{2017^{2017}-3}\)=> A<B
vậy A<B
chúc bạn học giỏi
k giùm mk nhé
So sánh A=2017^2017+1/2017^2018+1 và B=2017^2016+1/2017^2017+1
Vi \(\frac{2017^{2017}+1}{2017^{2018}+1}< 1\)
\(\Rightarrow A=\frac{2017^{2017}+1}{2017^{2018}+1}< \frac{2017^{2017}+1+2016}{2017^{2018}+1+2016}=\frac{2017^{2017}+2017}{2017^{2018}+2017}=\frac{2017\left(2017^{2016}+1\right)}{2017\left(2017^{2017}+1\right)}=\frac{2017^{2016}+1}{2017^{2017}+1}=B\)Vay A < B
so sánh A=2017^37+2016^2017+1/2017^38 và 2017^38+2016^2017+2/2017^39
so sánh 2 số A và B nếu
\(A=-\frac{1}{2018}-\frac{3}{2017^2}-\frac{5}{2017^3}-\frac{7}{2017^4};B=\frac{-1}{2018}-\frac{7}{2017^2}-\frac{5}{2017^3}-\frac{3}{2017^4}\)
A = 2 mũ 2017 + 2 / 2 mũ 2017 +3 và B = 2 mũ 2017 + 1 / 2 mũ 2017 + 2
so sánh
Ta có: \(A=\frac{2^{2017}+2}{2^{2017}+3}=1-\frac{1}{2^{2017}+3}\)
\(B=\frac{2^{2017}+1}{2^{2017}+2}=1-\frac{1}{2^{2017}+2}\)
Vì \(\frac{1}{2^{2017}+3}< \frac{1}{2^{2017}+2}\) nên \(1-\frac{1}{2^{2017}+3}>1-\frac{1}{2^{2017}+2}\)
hay A > B
1) so sánh
a) 58/63 và 36/55
b) 27/53 và 36/74
c) A= 2017/2016 +1 /2017/2017 +1 và B= 2017/1017 +1 /2017/2018 +1
a: 58/63=3190/3465
36/55=2268/3465
=>58/63>36/55
b: 27/53=1998/3922
36/74=1908/3922
=>27/53>36/74
so sánh : A=2017^2017/2018^2017+1
B=2017^2016+1/2017^2017+1
So sánh A và B,biết:
a,A=-15/46 và B=-51/151
b,A=2017^2017+1/2017^2018+1 và B=2017^2016+1/2017^2017+1
Giải giúp mk v
a, Bn quy đồng rồi làm nha
b,Có A=2017^2017+1/2017^2018+1
--> 2017A=2017^2018+2017/2017^2018+1
2017A=2017^2018+1/2017^2018+1 + 2016/2017^2018+1
2017A=1+ 2016/2017^2018+1
Có B=2017^2016+1/2017^2017+1
--> 2017B=2017^2017+2017/2017^2017+1
2017B=2017^2017+1/2017^2017+1 + 2016/2017^2017+1
2017B=1+2016/2017^2017+1
Vì 1+2016/2017^2018+1 < 1+2016/2017^2017+1
nên 2017A<2017B
-->A<B
A.Ta có :
\(A=-\frac{15}{46}>-\frac{15}{45}=-\frac{51}{153}>-\frac{51}{151}=B\)
\(\Rightarrow A>B\)
Câu b, giống bạn Kelly Gaming TV
So sánh A và B nếu
\(A=\frac{-1}{2018}-\frac{3}{2017^2}-\frac{5}{2017^3}-\frac{7}{2017^4}\)
\(B=\frac{-1}{2018}-\frac{7}{2017^2}-\frac{5}{2017^3}-\frac{3}{2017^4}\)