Question

-4x^48 times 1/x^86

Answer 1

i get -4/x^-38

Answer 2

looks goodto me

Answer 3

I thought that as well, but the answer states it as \[-4/x^(38)\]

Answer 4

But if I was right then we could re write it as

-4x^38?

Answer 5

This is the real question....


limx→−∞−9x^86−4x^48−2
−2x86+7x46−10

Answer 6

oh i see i was wrong, sorry

Answer 7

Its Ok, I am just a little confused on why it doesnt seem to be adding up

Answer 8

\[\frac{-4x^{48}}{x^{86}}=\frac{-4}{x^{86-48}}=\frac{-4}{x^{36}}\]

Answer 9

ooh i see your question, answer has nothing to do with that at all

Answer 10

both numerator and denominator of your rational function are polynomials of degree 86

Answer 11

Ok, I thought the exponent rules were x^m/x^n = x^(m-n)

Answer 12

since the degrees are the same, the limit as \(x\to \infty\) is the ratio of the leading coefficients

Answer 13

which in your case is \(y=\frac{9}{2}\)

Answer 14

as for the rules of exponents, which i repeat has nothing to do with this question
you are right
\[\frac{x^m}{x^n}=x^{m-n}\]

Answer 15

Ok I think i am catching on, the rules change since the limit is approaching infinity?

Answer 16

no, the rules of exponents don't change at all

Answer 17

Ok I see the degree of 9 and 2 are to the 86th,

Answer 18

you are not being asked to divide
you cannot divide term by term in any case

Answer 19

\[\frac{−9x^{86}−4x^{48}−2}{ −2x^{86}+7x^{46}−10}\] is your rational function

Answer 20

you cannot divide piece by piece
you would have to divide using long division, but you are not asked to divide

Answer 21

you are asked for the horizontal asymptote
since the degrees are the same, it is the ratio of the leading coefficients

Answer 22

the lower degrees are unimportant as you go to \(\infty\) so this really behaves just like
\[\frac{-9x^{86}}{-2x^{86}}=\frac{9}{2}\]

Answer 23

Oh Awesome I see, I just saw exponets and when I tried the rule, it threw me for a loop

Answer 24

Oh Awesome I see, I just saw exponets and when I tried the rule, it threw me for a loop