Question

find the limit

lim cos 4x /
x -> - infinity x

Answer 1

cos4x goses to 1 so u have 1/infinity = infinity?

Answer 2

\[\lim_{x \rightarrow \infty }\frac{ \cos4x }{ x } \]

Answer 3

The x in cosx will just alternate -1 to 1, so the only one that grows is the denominator, so you get zero for that

Answer 4

yea. my mistake

Answer 5

okay. so x is just = 0.

Answer 6

\[\lim_{x \rightarrow \infty}\frac{\cos(4x)}{x}=0\]