Question

Does the graph of function xn/(x3−4x+5) has asymptote horisontale for: a). n=3 b).n<3
can u help me please ?

Answer 1

@amistre64

Answer 2

It's *x^n

Answer 3

you have a rule for polynomials, otherwise you can simply divide everything by the higest poower of x

Answer 4

rule is

if the numerator has a bigger degree than the denominator
it has none

if the numerator has a smaller degree than the denominator
horizontal asymptote is at y = 0

Answer 5

what do you recall of these rules?

Answer 6

jdoe seems to know them ...

Answer 7

thank you so much !!! :) @jdoe0001 @amistre64

Answer 8

yw

Answer 9

can you help me with that :
lim \[\sqrt[3]{x^{2}}(\sqrt{x+1}-\sqrt{x^{2}-1})\] as x approch to infinity @jdoe0001