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Ad libitum [116K]
2 years ago
6

Show that f(x) = 2000x^4 and g(x) = 200x^4 grow at the same rate.

Advanced Placement (AP)
1 answer:
MAXImum [283]2 years ago
7 0

Answer:

The answer is "f(x) \ and \ g(x)\text {are in same rate }".

Explanation:

\to f(x) = 2000x^4\\\\ \to g(x) = 200x^4\\\\

\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

So,f(x) \ and \ g(x) are in the same rate because M=10 is finite.

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