1. Test the series for convergence or divergence: (-1)n n+1 n=1 2. Determine if the series converges conditionally or absolutely or diverges: 00 (-1)" (n + 1)2 n=1 3. Find the interval of convergence of the power series using the ratio test: 00 [ (- 1)n ( x + 2)2 n n=1 4. Approximate In 1.2 using the Taylor polynomial of degree 3 for the function f (x) = In x with center at a = 1. 5. Find the first four terms of the Taylor series for the function f(x) = cos (5x) with center at a = 1/6. Write the coefficients in simplest exact form