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How would you prove this inequality?
20:48
How would you prove this inequality?
Can you solve this inequality problem?
11:12
Can you solve this inequality problem?
A beautiful number theory problem
15:30
A beautiful number theory problem
Obviously true yet let's use analysis language to prove it
9:07
Obviously true yet let's use analysis language to prove it
How? It doesn’t even look like an integer
19:57
How? It doesn’t even look like an integer
Amazing infinite series | power series of arcsinx/sqrt(1-x^2)
49:19
Amazing infinite series | power series of arcsinx/sqrt(1-x^2)
A tricky integral ln(1+x)ln(1-x)
13:17
A tricky integral ln(1+x)ln(1-x)
A nice estimation of (1+1/n)^n
21:39
A nice estimation of (1+1/n)^n
Can you find the minimum value?
17:38
Can you find the minimum value?
Have you ever seen this proof before?
12:30
Have you ever seen this proof before?
Number theory problem | 133^5+110^5+84^5+27^5=n^5
18:26
Number theory problem | 133^5+110^5+84^5+27^5=n^5
Rough estimation of 1+2^2+3^3+…+n^n
15:29
Rough estimation of 1+2^2+3^3+…+n^n
When is this an integer? n^1/n-7 | Swedish Math Olympiad 2002
8:54
When is this an integer? n^1/n-7 | Swedish Math Olympiad 2002
Some hard analysis | limit of (an+1+an+2)/an
16:31
Some hard analysis | limit of (an+1+an+2)/an
Iran Math Olympiad number theory problem | x^13 equals 21982145917308330487013369
22:06
Iran Math Olympiad number theory problem | x^13 equals 21982145917308330487013369
Does this limit exist? | sqrt(1+sqrt(2+…+sqrt(n)))
18:12
Does this limit exist? | sqrt(1+sqrt(2+…+sqrt(n)))
A floor function equation | floor of sqrtn+1/2 floor of sqrt(n-3/4)+1/2
10:04
A floor function equation | floor of sqrtn+1/2 floor of sqrt(n-3/4)+1/2
IMO 2020 Question 2
8:46
IMO 2020 Question 2
Harmonic series | generalized Abel second theorem
13:03
Harmonic series | generalized Abel second theorem
Tricky inequality | double sum (aiaj/ci+cj) (bibj/ci+cj) bigger than (aibj/ci+cj)^2
18:39
Tricky inequality | double sum (aiaj/ci+cj) (bibj/ci+cj) bigger than (aibj/ci+cj)^2
Some integral inequality
8:41
Some integral inequality
A mysterious floor equation identity
7:26
A mysterious floor equation identity
Last 2 digits of 9^9^9^9
5:33
Last 2 digits of 9^9^9^9
How on earth can we show the convergence radius is 1?
15:49
How on earth can we show the convergence radius is 1?
MIT Integration Bee 2024 problem 4
14:34
MIT Integration Bee 2024 problem 4
3 ways to solve this MIT Integration Bee problem | cosx+xsinx/x(x+cosx)dx
11:57
3 ways to solve this MIT Integration Bee problem | cosx+xsinx/x(x+cosx)dx
A fabulous integral from MIT Integration Bee | infinite nested roots
22:44
A fabulous integral from MIT Integration Bee | infinite nested roots
A problem from Analysis | limsupn((1+an+1/an)-1) no less than 1
14:53
A problem from Analysis | limsupn((1+an+1/an)-1) no less than 1
How this hard infinite sum equals pi/2ln2
29:44
How this hard infinite sum equals pi/2ln2
A tricky integral from 0 to pi/2 of lnsinxdx
15:24
A tricky integral from 0 to pi/2 of lnsinxdx