H•(1/h)=1 is what property

Step-by-step explanation:

As I said in my Question I already know the "only way" to calculate this limit,

limh→0eh−1h=1

"the only way" i mean : using this definition

limx→∞(1+1x)x=e

by substituting x=1/h you can rewrite it as

e=limh→0(1+h)1/h

then :

limh→0eh=limh→0((1+h)1/h)h=limh→0(1+h)

so you can easily prove it the limit equal to one

limh→0eh−1h=1

so we can say that : this limit is just redefine of the definition of the e number