# How do I find the limit as x approaches infinity of (1.001)^x?

Feb 16, 2015

First of all the first thing we have to know is: which $\infty$?

Every number $0 < b < 1$ elevated to $+ \infty$ is equal to ${0}^{+}$ and elevated to $- \infty$ is equal to $+ \infty$.

I.E. $y = {2}^{x}$.

graph{2^x [-10, 10, -5, 5]}

Every number $b > 1$ elevated to $+ \infty$ is equal to $+ \infty$ and elevated to $- \infty$ is equal to ${o}^{+}$.

I.E. $y = {\left(\frac{1}{2}\right)}^{x}$.

graph{(1/2)^x [-10, 10, -5, 5]}