Final answer:
The infinite limit of x¹¹/x¹° simplifies to x, and as x approaches infinity, the limit is also infinity, indicative of a linear function with an asymptote at infinity.
Step-by-step explanation:
The question asks us to determine the infinite limit of x¹¹/x¹°. To evaluate this limit, we notice that the expression simplifies to x. Since the degree of the numerator is one more than the degree of the denominator, the limit as x approaches infinity is also infinity. This is similar to a linear function; as x gets larger the value of the function will continue to increase without bound. No matter what value of x you choose, making x larger will result in a larger value for the function, showcasing that it has an asymptote at infinity. Hence, the infinite limit of x¹¹/x¹° is infinity.