## anonymous 4 years ago how do i do this. limit as x approaches infitnity of [e^(-7x)cos(x)]

1. anonymous

the instructions say evaluate

2. anonymous

$\frac{\cos{x}}{e^{7x}}$

3. anonymous

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

4. anonymous

${x\to\infty} \implies e^{7x} \to \infty$ $$\cos$$ is limited to 1 and -1, So I think Zero

5. anonymous

how can there be two values on top?

6. anonymous

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

7. anonymous

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