Question
Asked Sep 25, 2019

Sketch the graph of the following function and use it to define the following limits, or specify if a limit does not exist.

 

s-
for x
x-t
X-+
-1<x<
L
+d
X
Xfor X>
=
Lim f(x)
X
X-1
flx) =
a) lim
3) lim flx)
x-1
4) lim f(x)
5) f(-I)E
help_outline

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s- for x x-t X-+ -1<x< L +d X Xfor X> = Lim f(x) X X-1 flx) = a) lim 3) lim flx) x-1 4) lim f(x) 5) f(-I)E

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check_circleExpert Solution
Step 1

As per norms, the first three questions are answered.

Step 2

The graph of the function (piecewise defined) is sketched. The red points are the actual values at the points x =-1 and x=1

у х^2+2|
у-4-х
-3
у-х-1
2с
Фо
о
T
у-
т
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у х^2+2| у-4-х -3 у-х-1 2с Фо о T у- т

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Step 3

1) the required limit is -2, as f(x) approaches x-1 ...

ух"2+2,
у-4-х
-2
2
у-х-1
у.
T
help_outline

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ух"2+2, у-4-х -2 2 у-х-1 у. T

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Tagged in

Math

Calculus

Limits