If one simply uses some common sense when trying to solve this problem, this is a relatively easy problem to solve. First, you can find out that a = b = c by setting the three sums equal to each other. Once you find that out, you can convert any of these equations to 2a = a^3. The rest is also easy.
@paulortega53172 ай бұрын
I'm still looking for the Witch
@chesssacs2 ай бұрын
222
@artemkanailov79412 ай бұрын
I don't like the part of the solution where you just say that 49 is kinda like infinity. Ok, the limit is eventually 2,7. But what values does it have for lower n? 1? 10? You must show that you are taking a safe upper bound for smaller values of n.
@faribamotallebi-o8v2 ай бұрын
Best
@coolvideos7772 ай бұрын
My puppy did this while taking a poop🐤
@FaribaMotallebi-e7p2 ай бұрын
Believe yourself
@javidmirab34922 ай бұрын
Why do you divided on both
@javidmirab-jo6hi2 ай бұрын
So nice solution
@SrisailamNavuluri2 ай бұрын
Is this special Maths?
@Mattiasthesecond2 ай бұрын
I think the first four are correct, but odd and even are defined for negative integers too so the so they either doesn't exist or approach negative infinity
@SZDPSantos2 ай бұрын
0 isn't a number
@lavarel2 ай бұрын
0 IS a number. Real number got 0 in it.
@SZDPSantos2 ай бұрын
@@lavarel0 means nothing. Nothing can't be a number.
@FaribaMotallebi-e7p2 ай бұрын
Why
@faribamotallebi-o8v2 ай бұрын
Nice😊
@javidmirab34922 ай бұрын
Excellent
@javidmirab-jo6hi2 ай бұрын
❤
@javidmirab-jo6hi2 ай бұрын
❤
@bhakta20122 ай бұрын
Ne seri
@yodaami2 ай бұрын
Why can’t I just stop at log base 4 of 40. You need a calculator for both answers.
@mariajimenez27062 ай бұрын
1
@mariajimenez27062 ай бұрын
10000
@harris51402 ай бұрын
The definition of e, the Euler number. The function is strictly increasing, thus everything above ^2 is >2.
@faribamotallebi-o8v2 ай бұрын
❤❤
@FaribaMotallebi-e7p2 ай бұрын
All right
@javidmirab34922 ай бұрын
So nice
@darknight36132 ай бұрын
We know that the left side is very close to e, so the answer is clear, you just have to prove it. Nice one
@harris51402 ай бұрын
The function is strictly increasing, no need to proof. It crosses 2 after x= 1.
@darknight36132 ай бұрын
@@harris5140 i meant to say that this question is stupid because just by looking at the thumbnail i was able to say that the left side is greater... But than again, in order to solve a mathematical question we need to provide a proof and that one is not that intuitive so the video is not useless, even tho everyone knows the answer to begin with. And Im not sure what x you are talking about as both of them are final numbers.
@javidmirab-jo6hi2 ай бұрын
Excellent solution
@javidmirab-jo6hi2 ай бұрын
Excellent solution
@hangthuy4582 ай бұрын
22^2(1+1+1)/66^2=(22/66)^2×3=3/3^2=3^-1
@carolshaw40902 ай бұрын
The music is too loud
@ChrisDives2 ай бұрын
Alternatively, we use that (1+x)^n = 1 + nx + stuff To state that 1.005^200 = (1+0.005)^200 = 1 + 200*0.005 + stuff= 2+stuff Where stuff is positive, done :)
@oldjoec37102 ай бұрын
Yes, a much more elegant approach. "stuff" is the binomial expansion. Strictly speaking, though, would have to also demonstrate by formula that all of the binomial expansion coefficients are positive to get full score on an Olympiad.
@MarshallMcCrory2 ай бұрын
WHY WOULD I CARE
@СергейКовалев-т1д6м2 ай бұрын
"Witch One is bigger" than Witch Two? Or the Mean Witch of the West?