Final answer:
The limit of the given function as x approaches infinity is 7/21.
Step-by-step explanation:
To find the limit of the given function, we need to analyze the behavior of the numerator and denominator as x approaches infinity. In this case, both the numerator and denominator are polynomials. Since the degree of the numerator and denominator are the same, we can compare the leading coefficients to determine the limit.
The leading coefficients of the numerator and denominator are 7 and 21 respectively. Therefore, the limit as x approaches infinity is 7/21.