What does expoential mean?

If u take a function (1+X)^1/X, and limit x->0 then the value is equal to 2.718218.. This thing is very useful when analysing a system stability, for a impulse (moment of giving some value) input to a system if u get an output of positive power of e then the system is not stable and if it has negative power of e then it is a stable system. If u take a function (1+X)^1/X, and limit x->0 then the value is equal to 2.718218.. This thing is very useful when analysing a system stability, for a impulse (moment of giving some value) input to a system if u get an output of positive power of e then the system is not stable and if it has negative power of e then it is a stable system.