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11:54mathxl.comSuppose that f(x) and g(x) are polynomials in x and that im r)2. Can you conclude anything aboutx? Give reasons for your answer.9(x)xo0Choose the correct choice below.O A.It is possible to conclude thatf(x= -2, because if limf(x)fixis the opposite of limx g(X)=2, thenx 9(x)O B.There is not enough information to conclude anything about thef(x)lim9(x)O CThef(x)imx 9/y) does not exist, because g(x) is zero as x approaches negative infinity.O D.It is possible to conclude thatf(x)=2, because iff(x)2, then the polynomials f(x) and g(x) must have the same degree. Thus, it isx 9x)possible to divide the numerator and denominator by the largest x-term and have a constant remaining.Click to select your answer and then click Check Answer.All parts showingClear AllCheck Answer

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11:54
mathxl.com
Suppose that f(x) and g(x) are polynomials in x and that im r)2. Can you conclude anything about
x
? Give reasons for your answer.
9(x)
xo0
Choose the correct choice below.
O A.
It is possible to conclude that
f(x
= -2, because if lim
f(x)
fix
is the opposite of lim
x g(X)
=2, then
x 9(x)
O B.
There is not enough information to conclude anything about the
f(x)
lim
9(x)
O C
The
f(x)
im
x 9/y) does not exist, because g(x) is zero as x approaches negative infinity.
O D.
It is possible to conclude that
f(x)
=2, because if
f(x)
2, then the polynomials f(x) and g(x) must have the same degree. Thus, it is
x 9x)
possible to divide the numerator and denominator by the largest x-term and have a constant remaining.
Click to select your answer and then click Check Answer.
All parts showing
Clear All
Check Answer
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11:54 mathxl.com Suppose that f(x) and g(x) are polynomials in x and that im r)2. Can you conclude anything about x ? Give reasons for your answer. 9(x) xo0 Choose the correct choice below. O A. It is possible to conclude that f(x = -2, because if lim f(x) fix is the opposite of lim x g(X) =2, then x 9(x) O B. There is not enough information to conclude anything about the f(x) lim 9(x) O C The f(x) im x 9/y) does not exist, because g(x) is zero as x approaches negative infinity. O D. It is possible to conclude that f(x) =2, because if f(x) 2, then the polynomials f(x) and g(x) must have the same degree. Thus, it is x 9x) possible to divide the numerator and denominator by the largest x-term and have a constant remaining. Click to select your answer and then click Check Answer. All parts showing Clear All Check Answer

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Step 1

Here, f(x) and g(x) are polynomials in x such that:

f(x)
g(x)
lim
-2
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f(x) g(x) lim -2

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Step 2

Since, the limit of the fraction is a constant, so both the polynomial must have same degree because then it will be possible to divide the numerator and denominator by the largest x-term and have a constant remaining.

For example: take f(x) = 2x2+3x+1 and g(x) = x2+x+2

Now, here,

3 1
2++
+3x+1lim
x
=2
lim
x2x2
1 2
1++
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Image Transcriptionclose

3 1 2++ +3x+1lim x =2 lim x2x2 1 2 1++

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Step 3

Now, similarly limit at negative infi...

3
2+
1
232+3x+1 lim
lim
x2x2
x
- =2
1 2
1++
x
+
help_outline

Image Transcriptionclose

3 2+ 1 232+3x+1 lim lim x2x2 x - =2 1 2 1++ x +

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Calculus

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