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)
Thanks!
You don't need a calculator, there are many options if you have access to a computer. There should be a built in calculator with the operating system, or (not many people know this) just type the calculation into Google and Google calculator will give the answer. Not to mention the myriad of online function/graph plotters that you will find if you google for online graph plotter, the first hit is here.
RonL
This depends on your teacher, but I would assume that it is efficient enough. One thing you can is rewrite the limit equation to prove your point even further.
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: