Question

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

Answer 1

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]}