"(flexp-1 x)

Returns e^x - 1, but is much more accurate than flexp for values of x near 1. It is recommended for use in algorithms where accuracy is important. (C99 expm1)"

The "...for values of x near 1." should be something else:

"..for values of x near 0.", 

"for very small values of x" 

"for values of e^x  near 1."