If I do this: Am I allowed to do this? Or did I do something in the very first steps incorrectly?
Last edited by daigo; June 29th 2012 at 03:14 AM.
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Yes you can factor out constants
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.
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?
Last edited by daigo; June 29th 2012 at 03:26 AM.
The theorem is applicable to the product of any two functions; one of them does not have to be a constant.
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