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