1. Determine if the following series are convergent or divergent co sin( not ) n n=3 2. Find the values of x for which L= lim an+1 an 90 and tell if the series converges or diverges when given the series (x - 5)" n n=1 3. Find power series for the following functions X 1 + 4. Write down the first 4 Taylor polynomials around zero and plot f(x) a long with its approximation f (x) = e2x+1 5. Use the integral test to determine if the series converges or diverges 1 1 ZK= 1 2k 2k+1 6. Use the comparison test test to determine if the series converges or diverges 1 LK= 1 2k4+8 7. EVALUATE THE INTEGRALS. USE TRIG SUBSTITUTION AND SHOW WORK FOR CREDIT J VI-36x2 dx