The paper proves the Riemann Hypothesis. Zeros and the pole of the Riemann zeta function zeta(s) correspond to simple poles of f(s), the derivative of the logarithm of zeta(s). In Re{s}>1 the function f(s) has an absolutely convergent sum expression with negatively exponential terms. When the Taylor series of f(s) is evaluated at a point (l,0), l>>1, the absolute values of the coefficients of the Taylor series decrease in a negatively exponential manner when l increases. The function f(s) has simple poles in the area Re{s}<1. The pole gives the function r/(s-s_k), which can be evaluated into a Taylor series at (l,0). The coefficients of the Taylor series of the pole decrease as 1/l as a function of l. This implies that in the sum of all poles of f(s) poles must cancel other poles so that the negatively exponential behavior of the coefficients of the Taylor series dominates. The function of x=1/l arising from the pole -1/(s-1) at s=1 is -x/(1-x). The poles of f(s) at even negative integers give the function -xC. These two negative functions cannot cancel poles s_k that are on the x-axis and 00 of x larger to zero at least as O(x) is shown possible for this solution.