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(a) Fix any positive integer n. Use logarèthmic differentia Hon to find fn (x). b) Find the smallest pos iti ve integer n such that Hint: You mau this tormu la use ful.

(a) Fix any positive integer n. Use logarèthmic differentia Hon to find fn (x). b) Find the smallest pos iti ve integer n such that Hint: You mau this tormu la use ful.

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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For each positere integer n, define a fun ction fo by setting fn cœ) = JI (xti), C ER ( I product) is used to denote a E is used to denote a sum) ln the coute&t of this problem n (x+!). (x?+1) .(I° +1) ... ( e") ( 1"+1) --. n factors - (えt)+ (エtリ+(x+1)+ + (x"4) と (xt1). n surmands (a) Fix any positive integen n. Use logarithmic differentia ton to find f'n (x). (6) Find the smallest pos itive integer Soch that Hints You wmau this formmu la use ful. n (nt!) E K=1 E k=l+2+... + h = 2 5 LO
Transcribed Image Text:For each positere integer n, define a fun ction fo by setting fn cœ) = JI (xti), C ER ( I product) is used to denote a E is used to denote a sum) ln the coute&t of this problem n (x+!). (x?+1) .(I° +1) ... ( e") ( 1"+1) --. n factors - (えt)+ (エtリ+(x+1)+ + (x"4) と (xt1). n surmands (a) Fix any positive integen n. Use logarithmic differentia ton to find f'n (x). (6) Find the smallest pos itive integer Soch that Hints You wmau this formmu la use ful. n (nt!) E K=1 E k=l+2+... + h = 2 5 LO
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