consider the following equation:
NF = 1.6; df[dn_] = NF - dn; DeltaF[mis_, theta_, dn_] = (dn Tan[theta] Cot[ArcSin[mis Sin[theta]]] + df[dn])/NF;
If, for example,
mis is fixed to 0.875 and
dn to 0.1, I’m expecting this function to tend to 1 as theta approaches 0, with a singularity in theta=1. However, the limit gives this result:
Limit[DeltaF[0.875, theta, 0.1], theta -> 0]] 1.00893
If the precision is increased with
SetPrecision, I get a bunch of number, but still far from what I’d expect. Is it mathematically correct or there something wrong with the precision here? Basically, I’d like to plot this equation in a way I can see it going to 1 as theta goes to 0, with obviously the singularity in 0.Thanks.
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