How to remove trailing whitespaces with sed?

Question

I have a simple shell script that removes trailing whitespace from a file. Is there any way to make this script more compact (without creating a temporary file)?

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Answer 1

At least on Mountain Lion, Viktor's answer will also remove the character 't' when it is at the end of a line. The following fixes that issue:

sed -i '' -e's/[[:space:]]*$//' "$1"