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Q3 :(A): By using " L' Hopital rules "; Find the limits of : 2 (1) lim,-ol; (2) lim 0 x ³ (tan-¹x-x) 1-cos x sin²x (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C = i + j-k, find: (ii) B.C (iii)Ã. (B+C) and (A+B).C (i)A.B (iv) (3A+ 4B).C -

Q3 :(A): By using " L' Hopital rules "; Find the limits of : 2 (1) lim,-ol; (2) lim 0 x ³ (tan-¹x-x) 1-cos x sin²x (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C = i + j-k, find: (ii) B.C (iii)Ã. (B+C) and (A+B).C (i)A.B (iv) (3A+ 4B).C -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Is it possible to solve section b of the third question with 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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