- #1
Mathematicsresear
- 66
- 0
Homework Statement
prove (5-n^2)/(3n+1) diverges to negative infinity as n approaches infinity
Homework Equations
For all M>0 there exists an N in the natural numbers such that for all n >= N, x_n <= -M
The Attempt at a Solution
Let M be an element of the field of the real numbers. Let N in the natural numbers be such that N is less than or equal to M/2. Thus for all n greater than or equal to N, (5-n^2)/(3n+1) ... less than or equal to 2N which is less than or equal to M.
Is this proof correct?
(I left ... as an exercise to the reader, if my proof is correct, is my choice of N correct?)
Last edited: