Suppose, f[x]
has a pole at a
.
How do I quickly find
Limit[(f[a+h]+f[a-h])/2,h->0]
? I mean, the expression for the function can be complicated, and changing all a's to a+h and a-h may be boring.
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Sign up to join this communitySuppose, f[x]
has a pole at a
.
How do I quickly find
Limit[(f[a+h]+f[a-h])/2,h->0]
? I mean, the expression for the function can be complicated, and changing all a's to a+h and a-h may be boring.
Residue
. $\endgroup$ – Hugh Feb 14 at 17:45Limit[(f[a+h]+f[a-h])/2,h->0]
is meaningless. $\endgroup$ – user64494 Feb 14 at 18:03f[x_]:=1/x^2;Limit[(1/h^2+1/(-h)^2)/2,h->0]
$\endgroup$ – user64494 Feb 14 at 18:06ComplexInfinity
if $a$ ia a pole of even order. $\endgroup$ – user64494 Feb 14 at 18:21