## anonymous one year ago prove that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.

1. anonymous

@freckles @ganeshie8 @Hero @pooja195 any clues ?

2. ganeshie8

If $$\lim\limits_{x\to \infty}\dfrac{f(x)}{g(x)}$$ is a finite nonzero number, then we say that $$f(x)$$ and $$g(x)$$ grow at same rate.

3. anonymous

4. anonymous

okay im getting .001

5. anonymous

2/2000

6. ganeshie8

which is finite and not 0, so both function grow at the same rate

7. anonymous

thank you

8. ganeshie8

yw