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14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x 4.1. The Derivative in R¹ fix → 0, f:x→ x = 0. 15. Discuss the differentiability at x = 0 of the function 1 x" sin- X x = 0, 93 0, x = 0, where n is an integer larger than 1. For what values of k, does the kth derivative exist at x = 0? (See Problem 12.)

14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x 4.1. The Derivative in R¹ fix → 0, f:x→ x = 0. 15. Discuss the differentiability at x = 0 of the function 1 x" sin- X x = 0, 93 0, x = 0, where n is an integer larger than 1. For what values of k, does the kth derivative exist at x = 0? (See Problem 12.)

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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14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x 4.1. The Derivative in R¹ fix → 0, f:x→ x = 0. 15. Discuss the differentiability at x = 0 of the function 1 x" sin- X x = 0, 93 0, x = 0, where n is an integer larger than 1. For what values of k, does the kth derivative exist at x = 0? (See Problem 12.)
Transcribed Image Text:14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x 4.1. The Derivative in R¹ fix → 0, f:x→ x = 0. 15. Discuss the differentiability at x = 0 of the function 1 x" sin- X x = 0, 93 0, x = 0, where n is an integer larger than 1. For what values of k, does the kth derivative exist at x = 0? (See Problem 12.)
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