does the sequence converge on diverge, if it converges, find the limit. lim n-- infinity of (-1)^(n-1) *n/ n^2+1?

Question

does the sequence converge on diverge, if it converges, find the limit. lim n--> infinity of (-1)^(n-1) *n/ n^2+1?

anonymous · Answer

How to evaluate the limit, I know certain cases use l'hospital's rule and other methods for limits but this  one is just less obvious on how to take the limit without a indeterminate form

amistre64 · Answer

divide the top and bottom by n^2, then simplify the results

if you cant recall the rule of degrees.

everything with an n under it goes to 0 ... what do we have left?

fibonaccichick666 · Answer

^this is actually a really great trick.  Dividing by the highest degree x or n or whichever term you have.  It really works in a lot of cases.

anonymous · Answer

Ah okay I assumed that the trick with the highest degree only held when the degree was common in both the numerator and denominator