# Does exponential take over cosine?

1. Sep 22, 2005

### EvLer

If i have a response for a circuit that consists of: cos(t) + e-t + e3tand if I let t->infinity, does exponential "over-take" cos(t)?
well, the actual question is whether the output/response remains finite as t->infinity...

thanks, as always

Last edited: Sep 22, 2005
2. Sep 23, 2005

### Warr

maybe i'm misunderstanding you but...
lim t-> infinity cos(t) + e^-t + e^3t = infinity

3. Sep 23, 2005

### HallsofIvy

Staff Emeritus
You are aware, are you not, that cos(x) is never larger than 1? It doesn't take much for any function to "overtake" (which is not the same as "take over"!) cos(x).