The most important absorption to memorise is the carbonyl stretch around 1715 cm-1. You should also recognize the C-H stretch, which is just below 3000 cm-1.
Unfortunately the carbonyl stretch can dip into the 1600s, and the 1600s is where the C=C stretch is located. But there is a difference - the carbonyl stretch is much more intense:
Another important stretch is the broad O-H peak at 3400:
The broadness is caused by hydrogen bonds. So the O-H stretch becomes a sharp peak if the spectrum is done on gaseous alcohol.
The N-H stretch can also be found in this region, at similar intensity. However, the N-H stretch is shaper, and for primary amines it is split into two peaks:
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