## turbomatt75 2 years ago would someone please help me find the limit of (e^-x + 2cos(3x) as x approaches inifinity? I'm stuck on the math. I came up with 0 as an answer, but I think I'm wrong. Would someone help me break it down step by step to find my error? Thank you.

1. satellite73

$\lim_{x\to \infty} e^{-x}=0$ but $$\lim_{x\to \infty}\cos(x)$$ does not exist, as cosine is periodic

2. satellite73

cosine oscillates between -1 and 1 infinitely often

3. turbomatt75

ok..I see what you are saying...so in this case because the two limits are not equal, then this limit does not exist...is that what you are saying?