If I do this:

Am I allowed to do this?

Or did I do something in the very first steps incorrectly?

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- Jun 29th 2012, 04:03 AMdaigoFactoring stuff out of limits
If I do this:

Am I allowed to do this?

Or did I do something in the very first steps incorrectly? - Jun 29th 2012, 04:18 AMbiffboyRe: Factoring stuff out of limits
Yes you can factor out constants

- Jun 29th 2012, 04:22 AMemakarovRe: Factoring stuff out of limits
Your derivation is correct. The theorem about the limit of product says that if the two limits on the right exist, then

Since and exist, your application of the theorem is valid. - Jun 29th 2012, 04:23 AMdaigoRe: Factoring stuff out of limits
Also I didn't want to create another thread since this is kind of relevant:

If I have:

Can I do this?

But this wouldn't work with a variable, only constants? - Jun 29th 2012, 04:42 AMemakarovRe: Factoring stuff out of limits
The theorem is applicable to the product of any two functions; one of them does not have to be a constant.