Question

$\lim_{x\to\infty}(1.00000001)^x$

Answer 1

$\infty$

Answer 2

The limit is of the form $\lim_{x\to\infty} a^x$ with $a = 1.00000001$. Since the base $a$ is greater than 1, the exponential function $a^x$ grows unboundedly as $x$ approaches infinity.