Please explain why I got marks taken off in this limit question

FrancisG

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ksdhart2

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Your link is locked behind a registration wall. Can you please upload the image to this forum, so that I (and other helpers) do not need to register for another account on a different site?
 

tkhunny

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My teacher said that I need to solve all the limits at once, but I do not understand why and so can someone please explain this rule. The test can be found here:
Personally, I would have taken points off for notation and spelling.

It's "indeterminate".

{your limit} = 0/0 is just terrible. Never say that.

Is it ALWAYS true that lim [f(x)*g(x)] = lim(f(x)) * lim(g(x))?
 
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