Answer
$\lim\limits_{x \to +\infty}=1.00$
Work Step by Step
Numerical Estimation:
For $x=5$ ; $1-0.5^{5}\approx0.9688$
For $x=10$ ; $1-0.5^{10}\approx0.9990$
For $x=20$ ; $1-0.5^{20}\approx0.9999990$
For $x=40$ ; $1-0.5^{40}\approx0.9999999...$