## Posts Tagged ‘L’Hôpital’s Rule’

### Monday Math 159

August 18, 2014

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

Find a non-summation expression for the value of the sum $\cos{x}+2\cos{2x}+3\cos{3x}+\cdots+n\cos{nx}$.
Find the limit  as a function of positive, real x; where ζ(s) is the Riemann zeta function.