Posts Tagged ‘L’Hôpital’s Rule’

Monday Math 159

August 18, 2014

Find I=\int_0^{\pi/2}\frac{\ln\left(\frac{\tan^{\pi/2}x+1}{2}\right)}{\ln\tan{x}}dx

Solution:

Monday Math 158

August 11, 2014

Find a non-summation expression for the value of the sum \cos{x}+2\cos{2x}+3\cos{3x}+\cdots+n\cos{nx}.

Solution:

Monday Math 133

August 30, 2010

Find the limit as a function of positive, real x; where ζ(s) is the Riemann zeta function.
Solution: