anonymous
  • anonymous
prove that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Mathematics
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anonymous
  • anonymous
prove that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
ganeshie8
  • 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.
anonymous
  • anonymous
okay that helps loads :D

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anonymous
  • anonymous
okay im getting .001
anonymous
  • anonymous
2/2000
ganeshie8
  • ganeshie8
which is finite and not 0, so both function grow at the same rate
anonymous
  • anonymous
thank you
ganeshie8
  • ganeshie8
yw

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