As the x-axis is shortend by setting xlim, however, the statistics used to define the boxplot, or box-and-whisker plot, are still based on the total data set. To plot a truncated data set create a subset first, or use the x[x<some.value] construct in the call.
References
C. Reimann, P. Filzmoser, R.G. Garrett, and R. Dutter: Statistical Data Analysis
Explained. Applied Environmental Statistics with R. John Wiley and Sons, Chichester, 2008.