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18.014ESG Exam 4 Pramod N. Achar
 

Summary: 18.014­ESG Exam 4
Pramod N. Achar
Fall 1999
1. Determine whether the following sequences and series converge. Where applicable, indicate the type
of convergence as well (i.e., conditional, absolute, pointwise, uniform). For problems marked with the
symbol "," compute the limit, if it converges. (N.B.: The presence of "" does not imply that the
sequence or series in question converges!) Be careful not to confuse sequences with series--only the
problems containing a " " are series.
(a) an =
n
n + 1
-
1
n
(b) an = 1 + (-1)n
(c)

n=0
n!
3n

  

Source: Achar, Pramod - Department of Mathematics, Louisiana State University

 

Collections: Mathematics