| Original Message (ID '179008') By jf: |
| You are making assumptions about k that need to be explicit.
In[1]:= f[t_, k_, a_] := a*t^k
In[2]:= f[0, k, a]
k
Out[2]= 0 a
In[3]:= Simplify[%, k > 0]
Out[3]= 0
What would happen if k were negative?
In[4]:= 0^(-3)
-3
Power::infy: Infinite expression 0 encountered.
Out[4]= ComplexInfinity
If you really, really want f[0,..,..] to be zero regardless of the other arguments, you can make a second, more specific, definition.
In[8]:= f[0, k_, a_] := 0
In[9]:= f[0, -2, 137]
Out[9]= 0
Since this definition of f is more specific than the earlier definition, it will be tried first.
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