This function appears in the integral definition of the gamma function where it of negative t is multiplied by t to the z minus one times dt.
This function appears in the integral definition of the gamma function where it of negative t is multiplied by t to the z minus one times dt. This is given as the limit as n goes to infinity of quantity 1 plus x over n to the nth power. Relatedly, its power series is the sum from n equals zero to infinity of x to the n divided by n factorial. This function is its own (*) derivative. Its inverse is the natural log. For 10 points, name this function of x which is approximately 2.718 raised to the xth power.
This function appears in the integral definition of the gamma function where it of negative t is multiplied by t to the z minus one times dt.
{exponential} function [or {ex} ({e} to the x, or {e} raised to the xth power, etc)]