anonymous
  • anonymous
find the indicated one-sided limit. if the limiting value is inifinte indicate whther is is +∞or− , lim x→4 (3x−9)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
hi. i have a question. is the limit being taken from the left or right?
anonymous
  • anonymous
are you there?
anonymous
  • anonymous
well, this is a linear function or a first degree polynomial.

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anonymous
  • anonymous
i'm not sure
anonymous
  • anonymous
so tell me what the problem is asking, if you would be so kind.
anonymous
  • anonymous
\[\lim_{x \rightarrow 4}(3x^2-9) \]
anonymous
  • anonymous
can you tell me in words, what it is asking?
anonymous
  • anonymous
find the indicated one-sided limit. if the limiting value is inifinte, indicate whether it is \[+\infty or -\]
anonymous
  • anonymous
-infity
anonymous
  • anonymous
ok. so they want the limit of 3x^2-9 as x approaches 4. I see the 4, but is it a left- or right hand + limit. My glasses may not be picking up the detail.
anonymous
  • anonymous
right hand
anonymous
  • anonymous
ok. perfect. now, what do we know about 3x^2-9? what kind of a function is it?
anonymous
  • anonymous
what is the graph of that function?
anonymous
  • anonymous
i'm not sure...i'm a little confused on the whole topic of limits
anonymous
  • anonymous
it is ok. it is a second degree polynomial. i am stating it this way because there is a limit theorem that states that all polynomial functions are continuous and all polynomial functions have equal left and right hand limits at every point in their domain.
anonymous
  • anonymous
this function would graph out to be a parabola. Furthermore, unless special domains are part of the problem, you simply substitute the x value into the expression to get the limit.
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
incidentally, polynomial functions are any function that can be written in the form: y=ax^n+bx^(n-1)+...+c
anonymous
  • anonymous
so, 5x^6+3x^5+4=y is a sixth degree polynomial function. notice the degree and the highest power are the same.
anonymous
  • anonymous
yea
anonymous
  • anonymous
ok. the only reason i bring this up is because they tend to throw a lot of these polynomial functions at you in calc classes. now back to the problem at hand. did you substitute 4 for x in the expression?
anonymous
  • anonymous
if so, what did you get for a value?
anonymous
  • anonymous
39
anonymous
  • anonymous
that would be the correct answer. nicely done.
anonymous
  • anonymous
ok..thanks...its all starting to make sense now
anonymous
  • anonymous
good. do you have any other questions? I am not paid by the hour lol
anonymous
  • anonymous
lol. no not tonight
anonymous
  • anonymous
well, then, i hope you have a lovely evening. take care and good nite
anonymous
  • anonymous
thanks and the same to you
anonymous
  • anonymous
:))
anonymous
  • anonymous
what happens if the limit is being taken from the left?

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