Question

how do i do this. limit as x approaches infitnity of [e^(-7x)cos(x)]

Answer 1

the instructions say evaluate

Answer 2

\[\frac{\cos{x}}{e^{7x}}\]

Answer 3

ohhh, small number over huge number equals negative infinity right?

Answer 4

\[{x\to\infty} \implies e^{7x} \to \infty\]

\(\cos\) is limited to 1 and -1, So I think Zero

Answer 5

how can there be two values on top?

Answer 6

I meant \(\cos\)'s Range is [-1,1]

Answer 7

oh, so an infintiy under that would make it go to zero, alrite got it. thanks bro