Answer:
See below
Explanation:
It does not exist because the
![(-1)^x](https://img.qammunity.org/2021/formulas/mathematics/college/sibef6r6f5pfh6psko6g1qhxc34eyht97r.png)
doesn't tend to some value it just loop around
![-1, 1](https://img.qammunity.org/2021/formulas/mathematics/college/uanm7o3jhof2vvd0icrspksti2tdxwqxf6.png)
for ever
it exist when we have
![\lim_(x\rightarrow \infty)[((1)/(x))]](https://img.qammunity.org/2021/formulas/mathematics/college/28n6w8pge730b7a7f9rfldhravhvgiexg4.png)
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