Homework answers / question archive / 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

Math

Share With

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.