Asked by running.from.myself
Find the limit or show that it does not exist for:
Limit as X approached infinity
X^4-3X^2+X
----------------
X^3 - X + 2
Limit as X approached infinity
X^4-3X^2+X
----------------
X^3 - X + 2
Answers
Answered by
Reiny
divide top and bottom by x^4
= lim (1 - 3/x^2 + 1/x^3)/(1/x + 1/x^3 + 2/x^4)
as x-->∞
all the terms with x at the bottom ---> 0
so we have
limit (1 -0 + 1)/(0-0+0)
= lim 1/0
which is undefined or infinitely large.
= lim (1 - 3/x^2 + 1/x^3)/(1/x + 1/x^3 + 2/x^4)
as x-->∞
all the terms with x at the bottom ---> 0
so we have
limit (1 -0 + 1)/(0-0+0)
= lim 1/0
which is undefined or infinitely large.
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