Question

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

Answer 1

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

Step-by-step explanation:

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

`\to \lim_(n \to \infty) (f(x))/(g(x))=(2000x^4 )/(200x^4)=(2000)/(200)=10\\\\\to \lim_(n \to \infty) (f(x))/(g(x))= m\\eq 10`

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