Question

Given the following two functions:

f(n) = 6n³+4n²+2
g(n) = 5n²+9
Use L'Hopital's rule and limits to prove or disprove each of the following:
ΓΕΩ(g)
gee()

Answer 1

The student's question about using L'Hopital's rule and limits lacks essential details, making it impossible to provide a correct answer without further clarification.

Step-by-step explanation:

The student seems to be asking about using L'Hopital's rule and limits to compare two functions, f(n) and g(n). However, the information provided in the question is unclear and not sufficient to give a precise answer. L'Hopital's rule is typically used to evaluate indeterminate forms, like 0/0 or ∞/∞, by taking derivatives of the numerator and denominator until a determinate form is achieved. To compare the growth rates of two functions, we might use limits, but the question needs to specify which type of limit (e.g., as n approaches infinity) is to be evaluated.

Without additional context or clarification, we cannot accurately determine whether L'Hopital's rule applies or provide proof or disproof for any statements about the functions f(n) and g(n).