- #1

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- Thread starter bobber205
- Start date

- #1

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- #2

lanedance

Homework Helper

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pics always take a while to clear, you;re better writing it up if you can

- #3

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Didn't realize that. Sorry. :)

- #4

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Didn't realize that. Sorry. :)

which equality in particular are you having a problem with? Or is it the introduction of the natural logarithm on the left-hand side?

- #5

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How did he get

ln ((x+3)(x+1)/(1/x))

- #6

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How did he get

ln ((x+3)(x+1)/(1/x))

This makes each term in the sequence y(x). It is also trivial that y(x) = e

Many limits are easily solved if you can find a clever rewriting of the algebraic expression like this.

- #7

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- #8

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The second limit gives us the indeterminate form 0/0, which makes it valid to use L'Hôpital's rule. This was the point of writing x as 1/(1/x).

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