Answer:
The answer is "[tex]f(x) \ and \ g(x)\text {are in same rate }[/tex]".
Explanation:
[tex]\to f(x) = 2000x^4\\\\ \to g(x) = 200x^4\\\\[/tex]
[tex]\to \lim_{n \to \infty} \frac{f(x)}{g(x)}=\frac{2000x^4 }{200x^4}=\frac{2000}{200}=10\\\\\to \lim_{n \to \infty} \frac{f(x)}{g(x)}= m\neq 10[/tex]
So,[tex]f(x) \ and \ g(x)[/tex] are in the same rate because M=10 is finite.
