Question

HELP: find the horizontal limits of the function.
(ATTACHED BELOW)

Answer 1

@dumbcow

Answer 2

i got 11/-6

Answer 3

and im not sure for the other one

Answer 4

thats correct

Answer 5

dear by horizontal limit u mean limit in infinite ?

Answer 6

it doesnt say..

Answer 7

everything is attached

Answer 8

Horizantal limit is -11/6

Answer 9

it says and

Answer 10

is there 2 answers?

Answer 11

are*

Answer 12

i wrote my answers thrre but im not sure if theyre correct

Answer 13

no the one -11/6 is correct

@Roya yes it means take the limit at infinity .

Answer 14

oh ok

Answer 15

yes its right

Answer 16

thank yoou

Answer 17

yw :)

Answer 18

@sami-21 what if it is to -infinity

Answer 19

is it the same thing?

Answer 20

considering this you answer is correct .

Answer 21

what if it say as x approaches to negtive infinity

Answer 22

its gonna produce similar result because the answer is depending on the coefficients of highest terms in both numerator and denominator .

Answer 23

lets say for this one. the first one: i got -2

Answer 24

but the second question asks: if it's coming from - infinity. @sami-21

Answer 25

@Roya

Answer 26

@sami-21

Answer 27

still -2

Answer 28

can someone explain why the negative infinity part right?

Answer 29

@sami-21 i know it's -2 so how do we know it's -2? since i found the infinity part... and to find the negative infinity part would be.. ?

Answer 30

the same thing?

Answer 31

there is no different between + or - infinity. while solving these kind of question you ignore other part because infinity is so great. regardless it's positive or negative

Answer 32

so if i solved for infinity, an it asked me the -infinity, the answer is the same?

Answer 33

@Roya

Answer 34

yes the same answer

Answer 35

oh okay great thanks you

Answer 36

as i mentioned above these limits depends on the coefficients of the highest terms in both numerator and denominator .
lets give it a try

divide both numerator and denominator with highest power (here it is simply x )

\[\Large \lim_{x \rightarrow -\infty} \frac{ \frac{4+8x}{x}}{\frac{3-4x}{x}}\]
\[\Large \lim_{x \rightarrow -\infty} \frac{\frac{4}{x}+8}{\frac{3}{x}-4}\]

apply the limits
\[\Large \lim_{x \rightarrow -\infty} \frac{\frac{4}{-\infty}+8}{\frac{3}{-\infty}-4}\]
\[\Large \frac{-0+8}{-0-4}=\frac{8}{-4}=-2\]

Answer 37

just take care of function with different behavior along x axis . I mean the fuction which have different function for each of the X axis part