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Calculus: Differentiation and Integration, 1st Edition
book

Calculus: Differentiation and Integration, 1st Edition

by ICFAI
April 2024
Intermediate to advanced content levelIntermediate to advanced
710 pages
20h 50m
English
Pearson India
Content preview from Calculus: Differentiation and Integration, 1st Edition
3-6  Calculus – Differentiation and Integration
Table 3.2
x
(in radius)
sin
1
x
1.0000000 0.841470984 80789650665250
0.1000000
-0.544021110
88936981340475
0.0100000
-0.506365641
10975879365656
0.0010000 0.826879540 53200256025589
0.0001000
-0.305614388
88825214136091
0.0000100 0.035748797 97201650931647
1.0000000 ´ 10
-6
-0.349993502
17129295211765
1.0000000 ´ 10
-7
0.420547793 19078249129851
1.0000000 ´ 10
-8
0.931639027 10972600802752
1.0000000 ´ 10
-9
0.545843449 44869956424439
1.0000000 ´ 10
-10
-0.487506025
08751069152779
1.0
x
y
y = sin (1/x)
0.5
0.0
−1.0
−1.0 −0.5 0.0 0.5 1.0
Figure 3.3
Limits and Continuity 3-7
Example 3.4 Show that lim ,
x
x
=
2
2
4 using the definition of ...
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Publisher Resources

ISBN: 9789353948221