Question

lim x->infinity x^4 +2x^3-3x^2+x-2

Answer 1

Not Factorable.

Answer 2

as x gets very large the x^4 "overtakes" the other terms
therefor the limit is positive infinity, or DNE

Answer 3

I like to write it like this

\[\lim_{x\to\infty}(x^4 +2x^3-3x^2+x-2)\]

\[\lim_{x\to\infty}x^4\left(1 +\frac{2}{x}-\frac{3}{x^2}+\frac{1}{x^3}-\frac{2}{x^4}\right)\]

butchering notation...

\[=\infty(1+0-0+0-0)=\infty\cdot1=\infty\]

Answer 4

is \[\infty\cdot 1\]even defined technically? I thought it was iindeterminate.

Answer 5

^no
it's not indeterminate

Answer 6

...no you're right, I just realized