Q3 :(A): By using " L' Hopital rules "; Find the limits of: (1) limx-ol-cos x 2 sin²x (2) limx-0 x-³ (tan-¹x-x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Is it possible to solve two points or all points in a maximum time of 20 minutes
Q3 :(A): By using " L' Hopital rules "; Find the limits of :
2
(1) lim-ol:
1
1-cos x
(2) limx→0 x-³ (tan-¹x-x)
sin²x
(B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j-k, find:
(i) A.B (ii) B.C (iii)Ã. (B+C)and (A + B).C (iv) (3A + 4B). C
-
Transcribed Image Text:Q3 :(A): By using " L' Hopital rules "; Find the limits of : 2 (1) lim-ol: 1 1-cos x (2) limx→0 x-³ (tan-¹x-x) sin²x (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j-k, find: (i) A.B (ii) B.C (iii)Ã. (B+C)and (A + B).C (iv) (3A + 4B). C -
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