Question

so sánh P và Q , bt P =\(\dfrac{2016}{2017}+\dfrac{2017}{2018}+\dfrac{2018}{2019}\) và Q= \(\dfrac{2016}{2017}+\dfrac{2017}{2018}+\dfrac{2018}{2019}\)

Answer 1

Giải:

Ta có:

\(P=\dfrac{2016}{2017}+\dfrac{2017}{2018}+\dfrac{2018}{2019}\)

và \(Q=\dfrac{2016}{2017}+\dfrac{2017}{2018}+\dfrac{2018}{2019}\)

Vì \(\left\{{}\begin{matrix}\dfrac{2016}{2017}=\dfrac{2016}{2017}\\\dfrac{2017}{2018}=\dfrac{2017}{2018}\\\dfrac{2018}{2019}=\dfrac{2018}{2019}\end{matrix}\right.\)

\(\Leftrightarrow\dfrac{2016}{2017}+\dfrac{2017}{2018}+\dfrac{2018}{2019}=\dfrac{2016}{2017}+\dfrac{2017}{2018}+\dfrac{2018}{2019}\)

Hay \(P=Q\)

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