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The expression that is plotted in the legend are the provided pure functions (with some scoped internal variable names). PlotLegends is somewhat confused so we have to provide explicit entries for the Legend. Since the desired result is somewhat unclear here a few suggestions: v[x_, k_] := k*x^-k; g[x_, k_] := (x^-k)*Sin[x^k]/(1 + x^k); f[x_, k_] := x^k/(1 ...



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