Why does this not exist? I thought if you plugged in infinity, you would just get infinity. Do you not plug in infinity?

Answer:
See below
Step-by-step explanation:
It does not exist because the
[tex](-1)^x[/tex]
doesn't tend to some value it just loop around
[tex]-1, 1[/tex]
for ever
it exist when we have
[tex]\lim_{x\rightarrow \infty}[(\frac{1}{x})][/tex]
there when the value of x increasing the fractions tends to 0
so we can say that when x approaches infinity the value is 0.
Tell me if i haven't made myself clear