Question
Asked Nov 11, 2019
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2t2X+
-1
14x2
DAna lim
X-7-1
FCx)
X-フー1-
(-1) 2+21-))
- 2 + 1
ext
O And lim
7-1t
Lim
X-7-1
-1+1
-
Fna lim f(x)
1- L- X
Since lim ETO= Lim
X-7-1t
hen um flx)-O
1
X-7-1
Dis flx) (uminuaus at x- Explain
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2t2X+ -1 14x2 DAna lim X-7-1 FCx) X-フー1- (-1) 2+21-)) - 2 + 1 ext O And lim 7-1t Lim X-7-1 -1+1 - Fna lim f(x) 1- L- X Since lim ETO= Lim X-7-1t hen um flx)-O 1 X-7-1 Dis flx) (uminuaus at x- Explain

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Expert Answer

Step 1

Consider the given function,

|x 2x1x< -1
f(x)= 1; x2-1
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|x 2x1x< -1 f(x)= 1; x2-1

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Step 2

Find the limit value as per...

(1). lim f(xlim(x +2x+1)
x1
=(-1)+2(-)+
1-2+1
=0
So, lim f(x)0
x
(b). lim f(x) lim
x1
-1+1
-1
= ve-1
=0
thus, lim f(x)0
(e). lim f(x)lime
-1+1
1
=0
So, lim f(x) 0
x1
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(1). lim f(xlim(x +2x+1) x1 =(-1)+2(-)+ 1-2+1 =0 So, lim f(x)0 x (b). lim f(x) lim x1 -1+1 -1 = ve-1 =0 thus, lim f(x)0 (e). lim f(x)lime -1+1 1 =0 So, lim f(x) 0 x1

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