so sánh : C=98^99+1/98^89+1
D=98^98+1/98^88+1
So sánh :
C= \(\dfrac{98^{99}+1}{98^{89}+1}\) và D = \(\dfrac{98^{98}+1}{98^{88}+1}\)
\(C-D=\dfrac{\left(98^{99}+1\right)\left(98^{88}+1\right)-\left(98^{89}+1\right)\left(98^{98}+1\right)}{\left(98^{89}+1\right)\left(98^{88}+1\right)}\)
\(=\dfrac{98^{187}+98^{99}+98^{88}+1-98^{197}-98^{89}-98^{98}-1}{\left(98^{89}+1\right)\left(98^{88}+1\right)}\)
\(=\dfrac{98^{99}-98^{98}+98^{88}-98^{89}}{\left(98^{89}+1\right)\left(98^{88}+1\right)}=\dfrac{98^{98}\left(98-1\right)-98^{88}\left(98-1\right)}{\left(98^{89}+1\right)\left(98^{88}+1\right)}\)
\(=\dfrac{97.98^{98}-97.98^{88}}{\left(98^{89}+1\right)\left(98^{88}+1\right)}=\dfrac{97.98^{88}\left(98^{10}-1\right)}{\left(98^{89}+1\right)\left(98^{88}+1\right)}>0\)
\(\Rightarrow C>D\)
So sánh : C = 9899+1/9889+1
D = 9898+1/9888+1
So sánh :C=98^99 +1/98^89 +1
vs
D=98^98 +1/98^88 +1
\(C=\frac{98^{99}+1}{98^{88}+1}\)\(D=\frac{98^{98}+1}{98^{98}+1}\)
Vì C>1 còn D=1 nên C>D
dung cho mih nha
so sánh \(C=\frac{^{98^{99}}+1}{98^{89}+1}\)và D=98^98+1/98^88+1
khẩn cấp nhé
Ta có:C=\(\frac{98^{99}+1}{98^{89}+1}\Rightarrow\frac{98^{99}+1}{98^{99}+10}=\frac{98^{99}+1}{98^{99}+1+9}=\frac{98^{99}+1}{1+9}\)
D\(\frac{98^{98}+1}{98^{88}+1}=\frac{98^{98}+1}{98^{98}+10}=\frac{98^{98}+1}{98^{98}+1+9}\frac{98^{98}+1}{1+9}\)
Vì\(\frac{98^{99}+1}{1+9}\)>\(\frac{98^{98}+1}{1+9}\)
=>C>D
C=98^99+1/98^89+1 va D=98^98+1/98^88+1. So sanh C va D
C=98^99+1/98^89+1 va D=98^98+1/98^88+1. So sanh C va D
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#C > D
So sánh C=\(\frac{98^{99}+1}{98^{89}+1}\) và D=\(\frac{98^{98}+1}{98^{88}+1}\)
So sánh C=\(\frac{98^{99}+1}{98^{89}+1}\) và D=\(\frac{98^{98}+1}{98^{88}+1}\)
So sánh : C = 9899+1/9889+1
D = 9889+1/9888+1
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