Hello everyone, I have to find an interval of this Riemann integral. Does anybody know the easiest way how to do it? I think we need to do something with denominator, enlarge it somehow. My another guess is the integral is always larger than 0 (A=0) because the whole function is still larger...
Hello everyone, can anybody help me with this problem?
The solution is for all odd prime numbers, but I have no idea how to solve it.
Any help will be greatly appreciated.
Hello everyone, I need to find this limit . What I tried is that
,
but clearly, 1/x diverges so I don't think it was very helpful.
Could someone help me what I need to do please?
Thank you for showing me this solution, it looks pretty elegant! But do you think there is other possible way how to solve it? The problem is we've never learned this method so I think I can't use it on my exam when we'll have to solve similar trigonometric limit.
I need to solve this limit without L'Hôpital's rule. Could someone give me a hint what
I need to do please? I just can't find this algebraic trick. Thank you in advance!
Good evening! Could anybody help me with this limit?
I have a problem when there are two variables. The only thing I did was that:
,
but I don't know if it was helpful. Thank you!
I know using L'Hospital's rule would be easy way to solve it but we haven't learned it yet so we're forced to find another ways.
Anyways, thank you so much Klaas van Aarsen, now when you showed me it looks so simple.
Hello everybody, could you help me with this problem please? I have to find a derivative in x0 of this function (without using L'Hospital's rule):
I used the definition , but I don't know what to do next. Thank you.
Oh of course, I got it. And in the last step you just divided 3/2 by n because n is infinite number of terms behind dots or why is it like that? Why did you not divide 1 by n as well?