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

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Answer 1 · 2015-02-16T13:54:55

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

Every number $0<b<1$ elevated to $+oo$ is equal to $0^+$ and elevated to $-oo$ is equal to $+oo$ .

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

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

Every number $b>1$ elevated to $+oo$ is equal to $+oo$ and elevated to $-oo$ is equal to $o^+$ .

I.E. $y=(1/2)^x$ .

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

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