5. Find the value of k (k > 0) for which the followin limit exists and (a) 1 (b) 2 3 (c) 2 (d) 3 4 O lim x40 lim X-0 (tan-¹(kt))² dt 4 x3 3 S (tan ² (lt)) ² dt + = Us?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. Find the value of k (k > 0) for which the following
limit exists and
(a) 1
(b) 2
3
(c) 2
(d) 3
(e) 4
lim
x→0
(tan-¹(kt))² dt 4
x3
3
=
lim So (tan ² (ut)) ²dt
x 3
U= ?
L
) کے
Transcribed Image Text:5. Find the value of k (k > 0) for which the following limit exists and (a) 1 (b) 2 3 (c) 2 (d) 3 (e) 4 lim x→0 (tan-¹(kt))² dt 4 x3 3 = lim So (tan ² (ut)) ²dt x 3 U= ? L ) کے
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