Recall that y = ln(x) and y = e^x are inverse functions. THe graph of y = ln(x) looks as though it might be approaching a horizontal asymptote. Write an argument based on the graph of y = e^x to explain why it does not.

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- Oct 2nd 2007, 07:57 PM #1

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- Oct 2nd 2007, 08:19 PM #2

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- Oct 2nd 2007, 08:22 PM #3

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does this make sense:

Since they are inverse functions, every (x,y) pair of ln(x) corresponds to a pair (y,x) of e^x. If ln(x) approaches a horizontal asymptote, that means that y has a limit. That means there is a limit on the x values of f(x). This is ridiculous, so obviously there is no horizontal asymptote for ln(x).

- Oct 2nd 2007, 08:38 PM #4

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- Oct 3rd 2007, 04:54 PM #5

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- Oct 3rd 2007, 08:20 PM #6

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