Recent content by Mcoulombe

ok i think i have done my proof but is all I am doing is showing 1811m-1811n<e(2500+1550m+1550n+961mn) or do i also need to find N from the definition

1811m-1811n<e(2500+1550m+1550n+961mn) so the LHS of this as m and n approach infinity is 0 obviously making the RHS larger. right?

there is something else in also confused about the def i was given is: a Sequence of real numbers, {sn} is said to be cauchy if for each epsilon >0 there exists a real number N such that for all n,m in the set of natural numbers, we have: n,m> N implies that Sn-sm< epsilon. what is N...

i got 1811m-1811n/2500+1550m+1550n+961mn

Homework Statement Im trying to prove that a sequence is cauchy using its definition. the sequence is 81+14n/50+31n. i know it converges to 14/31 using l'hospital's rule but the assignment is to use the definition of cauchy i have tried some things but I am not 100% sure how to start...