You are not logged in.
Hey guys.I just came out with a new problem i discovered.
Let it be n>=2 a natural number and n rational numbers with the property that,however we pick one of them,the sum of the other n-1 is 0.Show that all the numbers are equal to 0.
xD have fun
Why don't you make it a function and then find it by integring?
Guess because he can't understand how u got that results? xD
It's in romanian,i'm not from US sorry.
Yes it is infinity thanks a lot.
Any ideas on 1?
My 11th grade math book
Yes the question is correct.
Yes the mean value theorem.Sorry they don't call like that here.
Lagrange Theoreme for derivates
Yes that's a part i don't understand yet.I'm on last year of high school so i started learning about integrals just now.I still have to learn a bit more about integrals because at the time i solved it i used just Lagrange and derivates.
I also found out how to solve 3) if you are interested but still no clue for 1).
I am sorry you were write,i just found the notebook.apologize
it's 7e/16 i think.
ok the thing is that i did this exercise 2 years ago but i lost the notebook and now i can't figure out how to solve it anymore
i know that the sum is constant and i know it's something with xe/12 or xe/12 but i cannot remember exactly.
Actually the sum is constant,that's a thing i know.
They don't ask to prove the divergence but a result.
Yes i am sorry at 2) was +...+
@anonimnystefy No it is f(c)=g(c)
Hey guys,i'm new here. Hope u can help me with those 3 problems:
1)Let it be f,g:[-1,1]-> R; f,g - continous functions.Show that exist a,b ∈[-1,1],a<b so that f(a)=g(b) and f(b)=g(a) then there is c∈[-1,1],so that f(c)=g(c).
My guess here it's Lagrange but i have no clue on how to apply it.
2)Calculate lim n->inf ( 1/(2ln2)+1/(3ln3)+...+1/(nln(n)) )
3)a,b,c > 0 so that a^x+b^x+c^x>=3, with any x∈R. Show that a*b*c=1
Ty for help xD