Wolfram|Alpha

Computing...

Input:

e^z


Roots:

(no roots exist)


Periodicity:

periodic in z with period 2 i pi


Branch points:

(none; function is entire)


Series expansion at z=0:

1 + z + z^2\/2 + z^3\/6 + z^4\/24 + O(z^5)\n(Taylor series)


Derivative:

d\/dz(e^z) = e^z


Indefinite integral:

 integral e^z  dz = e^z + constant


Limit:

lim_(z->-infinity) e^z = 0

ComputingComputing...