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Evaluate the limit, if it exists. (If aanswer does not exist, enter DNE.)x2lim4x 3x 3x22x-3

Question
Evaluate the limit, if it exists. (If a
answer does not exist, enter DNE.)
x2
lim
4x 3
x 3x2
2x-
3
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Evaluate the limit, if it exists. (If a answer does not exist, enter DNE.) x2 lim 4x 3 x 3x2 2x- 3

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check_circleAnswer
Step 1

Obtain the limit value as follows.

2x +4(-3)+3
lim
3 x2 2x3
(-3) 2(-3)-3
9 12 3
9 6-3
indeterm inate form)
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2x +4(-3)+3 lim 3 x2 2x3 (-3) 2(-3)-3 9 12 3 9 6-3 indeterm inate form)

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Step 2

Apply L’Hospital’...

x24x3
lim
-3x2x- 3
2x 4
lim
x32x 2
2(-3)4
2(-3)+ 2
-6+4
-6+2
|
|
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x24x3 lim -3x2x- 3 2x 4 lim x32x 2 2(-3)4 2(-3)+ 2 -6+4 -6+2 | |

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Math

Calculus

Limits

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