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Thread: New Calc 2 PHY/ENG Student Here!

  1. #1
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    Red face New Calc 2 PHY/ENG Student Here!

    Hi community!

    Just introducing myself as per recommendation after the registration process. Nice to meet you all.

    I'm doing a homework problem that is stated: "Suppose that a is a positive constant and that R is the region bounded above by y = 1/xa , below by y = 0 and on the left by the line x = 1. Part A asks to sketch the graphs for a = .5, 1 , and 2 and then asks which is closest to the x axis.

    Computationally, I know the answer is 1/x2 but is there any other way to prove that that function approaches the x axis faster than the other two functions? I attempted the limits for each function and naturally they all approach 0 when x -> infinity.

    Thanks again,
    Alta
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  2. #2
    MHF Contributor
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    Re: New Calc 2 PHY/ENG Student Here!

    I'm going to repost the question in the appropriate forum. Welcome.

    Posted here
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