Câu hỏi của oppachanyeol

Question

So sanh 2²⁰¹⁴+1/2²⁰¹⁴và 2²⁰¹⁴+2/2²⁰¹⁴+1

soyeon_Tiểu bàng giải · Accepted Answer

$\frac{2^{2014}+1}{2^{2014}}=\frac{2^{2014}}{2^{2014}}+\frac{1}{2^{2014}}=1+\frac{1}{2^{2014}}$

$\frac{2^{2014}+2}{2^{2014}+1}=\frac{2^{2014}+1}{2^{2014}+1}+\frac{1}{2^{2014}+1}=1+\frac{1}{2^{2014}+1}$

$Vì\frac{1}{2^{2014}}>\frac{1}{2^{2014}+1}$

$=>\frac{2^{2014}+1}{2^{2014}}>\frac{2^{2014}+2}{2^{2014}+1}$

Ủng hộ mk nha ^_-

Câu trả lời:

$\frac{2^{2014}+1}{2^{2014}}=\frac{2^{2014}}{2^{2014}}+\frac{1}{2^{2014}}=1+\frac{1}{2^{2014}}$

$\frac{2^{2014}+2}{2^{2014}+1}=\frac{2^{2014}+1}{2^{2014}+1}+\frac{1}{2^{2014}+1}=1+\frac{1}{2^{2014}+1}$

$Vì\frac{1}{2^{2014}}>\frac{1}{2^{2014}+1}$

$=>\frac{2^{2014}+1}{2^{2014}}>\frac{2^{2014}+2}{2^{2014}+1}$

Ủng hộ mk nha ^_-