Unformatted text preview: interval − ∞, + ∞ . Assume and moreover that for an arbitrary positive integer ℓ J (2ℓ−1) 0 (1) Jx = −1 J (1) 0 = 0, J (2) 0 =− J (3) 0 = 0, J (4) 0 = J (5) 0 = 0, J (6) 0 =− J (7) 0 = 0, J (8) 0 = ·
·
· 2ℓ − 1 ℓ J (2ℓ) 0 = 0, 1 ·
·
· 2ℓ
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(2) Use the general Taylor’s formula to write out the Taylor series for J x : (2a) Jx = ∞
ℓ=0 (2b) Jx 2ℓ
· x . In the ‘honest’ form. Leave the...
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This note was uploaded on 01/12/2014 for the course MATH 116 taught by Professor Scholle,minho during the Fall '08 term at Kansas.
 Fall '08
 SCHOLLE,MINHO
 Calculus

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