Question

Limit question

Answer 1

\[\lim_{x \rightarrow 1} \frac{ x^4+x^3-2x }{ x^5+2x-3 }\]

Answer 2

caluclateing limits using limit laws. my answer is \[\lim_{x \rightarrow 1}\frac{ x(x^3+x^2-2) }{ x(x^4;2-3x^-1) }\]

Answer 3

and cacel out x?

Answer 4

won't do you any good.

Answer 5

what is the first step in order to solve this?

Answer 6

at x=1 it is 0/0

so (if you know it) you can use L'Hospital's rule
take the derivative to top and bottom, then let x-> 1

Answer 7

i know that i have to factorize.

Answer 8

so i dont need to factorize?

Answer 9

I apologize I cannot do this one at the moment.

Answer 10

ok, thanks for letting me know

Answer 11

sure thing, good luck.

Answer 12

you can factor out (x-1) because you see x=1 makes the polynomial zero, so 1 is a root.

Answer 13

then cancel the (x-1) factor from top and bottom, and evaluate the resulting expression at x->1