MathGroup Archive 2005

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Limits at Infinity


The expression

   Limit[ Exp[-2 a x] Cos[2 q x], 
      x -> Infinity,
      Direction -> 1,  
      Assumptions -> {
         Element[q, Integers], 
         Element[a, Reals], 
         Re[a] > 0}]

gives 0 as expected; but the expression

   Limit[ Exp[-2 a x] Cos[2 q x + b], 
      x -> Infinity,
      Direction -> 1,  
      Assumptions -> {
         Element[q, Integers], 
         Element[a, Reals], 
         Element[b, Reals],
         Re[a] > 0}]

returns unevaluated ­­ ???


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