option 3 does for sure - f increases infinitely faster than g

option 2 does not - g increases faster than x

option 1 - I would say that this does not, since the rate of increase of f relative to g is a constant

David S.

asked • 05/08/20Which of the following shows that f(x) grows faster than g(x)?

Options:

1) | |

2) | |

3) | |

4) | None of these |

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option 3 does for sure - f increases infinitely faster than g

option 2 does not - g increases faster than x

option 1 - I would say that this does not, since the rate of increase of f relative to g is a constant

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Stanton D.

Technically, option 3 should be stated that the limit of the quotient goes to infinity, not equals infinity; same for option 2 (goes to zero)? But otherwise agree.05/09/20