Are these limits or integrals? If they are integrals, what are their bounds?
Here are some problems I am having a hard time with. If anyone knows how to solve them It would be amazing. My tutor cannot even figure these out!!!
1. limx->2- sqrt(4-x^2)/x-2
2. limx->0+ x^3cotx
3. limx->infinity (1+1/x)^x
4. limx->2+ (1/x^2-4)-(sqrtx-1/x^2-4)
Do you mean something like this:
where is a constant
If this is what you mean then to solve this you have to treat it like a limit as such:
. where is any constant . Then you would do your regular integration by letting and then plugging in and into your . You end up with:
(I have omitted the part where you plug in since those will just be numbers thus not affected by the limit).
You solve the limit, you end up with .
Therefore,
4. is ambiguous and needs more brackets or latex typesetting.
-----------------------------------------------------------------------------------------------
1. .
Those who are easily offended, please turn a blind eye to the second last bit
------------------------------------------------------------------------------------------------
2. you should be able to take it from here.