Answer
$\lim\limits_{x \to \infty}(3-0.95^{x})=3.0$
Work Step by Step
Numerical Estimation:
For $x=50$ ; $3-0.95^{50}\approx2.923$
For $x=150$ ; $3-0.95^{150}\approx2.9995$
For $x=250$ ; $3-0.95^{250}\approx2.99999$
For $x=350$ ; $3-0.95^{350}\approx2.99999998$
