how would I solve this?

[astral carbon]

Factor 1/5 out of the limit and use the value of $\lim_{x\rightarrow 0}\frac{\sin(x)}{x}$

[glacial storm]

Omnikar

[distant fulcrum]

ah, so if there is no number on the numerator, its just 1?

[astral carbon]

yes

[distant fulcrum]

Ahh ok

what do you do after you factor em out

[astral carbon]

$\lim_{x\rightarrow 0}\frac{\sin(x)}{5x} = \lim_{x\rightarrow 0}\left(\frac{1}{5}\cdot\frac{\sin(x)}{x}\right) = \frac{1}{5} \cdot \lim_{x\rightarrow 0}\frac{\sin(x)}{x}$

[glacial storm]

Omnikar

[astral carbon]

do you know what the value of $\lim_{x\rightarrow 0} \frac{\sin(x)}{x}$ is?

[glacial storm]

Omnikar

[distant fulcrum]

wouldnt it be 1?

[astral carbon]

correct

[distant fulcrum]

so its just 1/5 ?

[astral carbon]

yep