anonymous
  • anonymous
HELP: find the horizontal limits of the function. (ATTACHED BELOW)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
anonymous
  • anonymous
@dumbcow
anonymous
  • anonymous
i got 11/-6

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anonymous
  • anonymous
and im not sure for the other one
anonymous
  • anonymous
thats correct
anonymous
  • anonymous
dear by horizontal limit u mean limit in infinite ?
anonymous
  • anonymous
it doesnt say..
anonymous
  • anonymous
everything is attached
anonymous
  • anonymous
Horizantal limit is -11/6
anonymous
  • anonymous
it says and
anonymous
  • anonymous
is there 2 answers?
anonymous
  • anonymous
are*
anonymous
  • anonymous
i wrote my answers thrre but im not sure if theyre correct
anonymous
  • anonymous
no the one -11/6 is correct @Roya yes it means take the limit at infinity .
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
yes its right
anonymous
  • anonymous
thank yoou
anonymous
  • anonymous
yw :)
anonymous
  • anonymous
@sami-21 what if it is to -infinity
anonymous
  • anonymous
is it the same thing?
anonymous
  • anonymous
considering this you answer is correct .
anonymous
  • anonymous
what if it say as x approaches to negtive infinity
anonymous
  • anonymous
its gonna produce similar result because the answer is depending on the coefficients of highest terms in both numerator and denominator .
anonymous
  • anonymous
lets say for this one. the first one: i got -2
anonymous
  • anonymous
anonymous
  • anonymous
but the second question asks: if it's coming from - infinity. @sami-21
anonymous
  • anonymous
@Roya
anonymous
  • anonymous
@sami-21
anonymous
  • anonymous
still -2
anonymous
  • anonymous
can someone explain why the negative infinity part right?
anonymous
  • anonymous
@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.. ?
anonymous
  • anonymous
the same thing?
anonymous
  • anonymous
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
anonymous
  • anonymous
so if i solved for infinity, an it asked me the -infinity, the answer is the same?
anonymous
  • anonymous
@Roya
anonymous
  • anonymous
yes the same answer
anonymous
  • anonymous
oh okay great thanks you
anonymous
  • anonymous
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 \[\Large \lim_{x \rightarrow -\infty} \frac{\frac{4}{-\infty}+8}{\frac{3}{-\infty}-4}\] \[\Large \frac{-0+8}{-0-4}=\frac{8}{-4}=-2\]
anonymous
  • anonymous
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 |dw:1375077760801:dw|
anonymous
  • anonymous
@mathcalculus I hope its clear now . in these cases yes both in _ or - infinity answer remains unchanged . just look at the coefficients of highest terms .

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