SOLUTION: Find the limit. If there is no limit, enter NONE. If you need to enter - or , type -INFINITY or INFINITY. Limit x to infinity 2x-1/5x^2+3x+1

Algebra ->  Linear-equations -> SOLUTION: Find the limit. If there is no limit, enter NONE. If you need to enter - or , type -INFINITY or INFINITY. Limit x to infinity 2x-1/5x^2+3x+1      Log On


   

Question 215943: Find the limit. If there is no limit, enter NONE. If you need to enter - or , type -INFINITY or INFINITY.
Limit x to infinity 2x-1/5x^2+3x+1
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The limit is ZERO since the degree of the denominator is larger than the degree of the numerator! If you divide numerator and denominator by x, you get

%282+-1%2Fx%29%2F%28x%2B3%2B1%2Fx%29+

As x approaches infinity, you have a numerator of 2 and a denominator of infinity. The limit of 2 divided by an infinitely large denominator is 0.

R^2