Question

5x^4-x^2+7
------------
x^4 -3x^3+2

Is this an indeterminate form?

Answer 1

Is this a calculus question?

Answer 2

yeah

Answer 3

is the first equation over the second

Answer 4

An indeterminate form is one which is 0/0 or infinity / infinity, etc.
BUT it's written in terms of a limit. There is no limit here, so the question can't be answer.

Answer 5

ok as the limit goes to infinity. will it be an indeterminate form?

Answer 6

Ah, as the limit goes to infinity, we look at the highest power of x...

So in the numerator, the highest power of x is 4.
In the denominator, the highest power of x is also 4.

So really we're asking about (5x^4)/(x^4) which is just 5.

Graph it. Also, read this: http://www.math.psu.edu/files/141rates1.pdf

Answer 7

\[\frac{5 x^4-x^2+7}{x^4-3 x^3+2}=\frac{x (86 x+59)+37}{5 (x ((x-2) x-2)-2)}-\frac{11}{5 (x-1)}+5 \]

Answer 8

mathteacher1729
can i perform the l'hopital's rule to this equation? Or it doesn't really matter?