Question

Số nguyên x thoả mãn :

1-\(\left(\dfrac{1}{2}\right)^{2016}\)<x<1+\(\left(\dfrac{-1}{2}\right)^{2016}\)

Answer 1

\(0< \left(\dfrac{1}{2}\right)^{2016}< 1\Rightarrow\left\{{}\begin{matrix}0< 1-\left(\dfrac{1}{2}\right)^{2016}< 1\\1< 1+\left(\dfrac{1}{2}\right)^{2016}< 2\end{matrix}\right.\)

\(\Rightarrow0< x< 2\)

(0,2) có duy nhất 1 là nguyên => đáp số : 1

Answer 2

nhận thấy 1 < ( 1+ \(\left(\dfrac{-1}{2}\right)^{2016}\)) < 2

0 < (1-\(\left(\dfrac{1}{2}\right)^{2016}\)) < 1

lại có x nguyên \(\Rightarrow0\le x\le1\)

vay x= 0 ; 1

Answer 3

x =1 duy nhất