Use the graph of the greatest integer function, y Lx, to find the limits given below.LeJ(a) limLO(b) lim0 10-1(a) Select the correct choice below and fill in any answer boxes within your choice(Туреliminteger or asimplified fraction.)O A.01anB. The limit does not exist

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Asked Sep 2, 2019

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Use the graph of the greatest integer function, y Lx, to find the limits given below.
LeJ
(a) lim
LO
(b) lim
0 1
0-1
(a) Select the correct choice below and fill in any answer boxes within your choice
(Туре
lim
integer or a
simplified fraction.)
O A.
01
an
B. The limit does not exist
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Use the graph of the greatest integer function, y Lx, to find the limits given below. LeJ (a) lim LO (b) lim 0 1 0-1 (a) Select the correct choice below and fill in any answer boxes within your choice (Туре lim integer or a simplified fraction.) O A. 01 an B. The limit does not exist

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Expert Answer

Step 1

Here, we make substitution thita=1+h, where h approaches 0,1+h is slightly greater than 1 , so its greatest integer value is 1

lim
0 1+h
e1,h-0
1
1
=1
1+0
- lim+ lim-
h-+0 1h
lim
h01h
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lim 0 1+h e1,h-0 1 1 =1 1+0 - lim+ lim- h-+0 1h lim h01h

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Step 2

Here, we make substitution thita=1-h, where h approaches 0,1-h is...

lim
0 1-h
01,h0
0
1-hlim
Le
0
h01h
lim
h0 1-h
lim
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lim 0 1-h 01,h0 0 1-hlim Le 0 h01h lim h0 1-h lim

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Calculus

Limits

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