Does the graph of function xn/(x3−4x+5) has asymptote horisontale for: a). n=3 b).n

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 ?

anonymous · Answer

@amistre64

anonymous · Answer

It's *x^n

amistre64 · Answer

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

jdoe0001 · Answer

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

amistre64 · Answer

what do you recall of these rules?

amistre64 · Answer

jdoe seems to know them ...

anonymous · Answer

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

jdoe0001 · Answer

yw

anonymous · Answer

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