Recent content by esuahcdss12

yes

Hey, I need to prove that dirichlet function is a periodic function, but i got no idea how to start solving the question. could anyone help please?

It could be done only if $$n^n$$ and then after some calculation of $$\frac{A(n+1)}{An}$$ we get that the limit is e*lim(n+1) which is e *∞ = ∞ Is that correct?

no, I meant (A(n+1)/A(n))

Hey suppose I have sequence An limAn,n→∞ = ∞ Is it possible to find a sequence which makes: lim (An/An+1) ,n →∞ = ∞? I tried to search a sequence like that and could not find, but I don't know how to prove that this is can not be happening. could you help please?

Fixed. can anyone help with the first sequence ? the second I manged to solve with the squeeze theory

I need to prove that the limit of the sequence is as shown(0): 1.limn→∞ n*q^n=0,|q|<1 2.limn→∞ 2*n/n! but I need to do this using the convergence tests. With the second sequence I tried the "ratio test", and I got the result limn→∞ 2/n+1 which means that L in the ratio test is 0 and so it...

I manged to solve the question, i made an arithmetic error. thanks

hey I am trying to calculate the limit of : limn→∞(1/2+3/4+5/8+...+2n−1/2^n) but I am not sure how to solve it, I thought to calculate 2S and than subtract S, but it did not worked well. I did noticed that the denominator is a geometric serie,but I don't know how to continue. could you help?

Hey all, I started to learn this subject, and i understtod how to find the supremum and infimum of a given set or function. but I have problem with one question which I can not solve, and I don't know how to start. This is the quesion: Given to bounded sets X and Y, which their element are REAL...