Hi, I'm a bit rusty on my math since it is summer...
but i have to do this summer assignment.
The original question is which of the following functions has a horizontal asymptote at y=-1? and it lists like 5 equations, one which is y=ln(x+1)
I'm thinking that you have to find the limit as x->infinity and negative infinity, and if the answer is -1, that is my equation. If that's wrong, point it out please.
And no graphing calculator, and i really don't want to hand draw these graphs (i have to show work)
In order for to go to infinity, the base must be positive and x must have a limit of infinity. Both of those work for this limit, so the following can be said: