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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?

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?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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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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