Sample Test 1

Mathematics A2

March, 2009

1. Answer if the following numerical series converges absolutely, converges conditionally or diverges: .

2. Expand the McLaurin series of the function and give all points of convergence.

3. Give the Fourier series of the periodic function , if , .

4. Give the value of the parameter a such that the system have one unique solution:

5. Give the value of the determinant: