According to Wien's displacement law, [ \lambda_{\max}T=b, ] the peak wavelength of blackbody radiation shifts toward shorter wavelengths as temperature increases. As (T) becomes extremely large, (\lambda_{\max}) approaches zero. I have two related questions: Can the peak wavelength actually reach (\lambda_{\max}=0) at any finite temperature, or does it only approach zero in the limit (T\to\infty)? As the peak moves out of the visible spectrum and toward the UV, X-ray, and shorter-wavelength regions, what happens to the absolute amount of radiation emitted in the visible range according to Planck's law? In other words, does the visible emission eventually decrease and vanish as (\lambda_{\max}\to0), potentially making an extremely hot blackbody appear dark to the human eye? Or does the visible spectral radiance continue to increase even though the peak and an increasing fraction of the total radiation move outside the visible spectrum? I'm particularly interested in the distinction between the limiting behavior of the peak wavelength and the limiting behavior of the visible part of the spectrum.