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1) The terms of series are defined recursively by the equations: a1=2 a(n+1)=(5n+1)/(4n+3)an Determine whether ?" an converges or diverges 2) a) Show that ?" (from n=0 to infinity) [x^n/n!]converges for all x b) Deduce that lim ( n--> infinity)[x^n/n!] = 0 for all x
1) The terms of series are defined recursively by the equations:
a1=2 a(n+1)=(5n+1)/(4n+3)an
Determine whether ?" an converges or diverges
2) a) Show that ?" (from n=0 to infinity) [x^n/n!]converges for all x
b) Deduce that lim ( n--> infinity)[x^n/n!] = 0 for all x.
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