How can I show the following function is integrable, given that ??

, where , and h is a fixed constant.

i.e. I want to show

any ideas on how I might go about this??

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- January 2nd 2011, 10:28 PMaukieIs this function integrable?
How can I show the following function is integrable, given that ??

, where , and h is a fixed constant.

i.e. I want to show

any ideas on how I might go about this?? - January 3rd 2011, 07:15 PMaukie
For anyone interested, I think the proof follows along the lines, for any fixed h, the function is continuous and goes to 0 as x goes to plus or minus infinity, thus it is bounded by say M, hence we have,

simple when u know how I guess!