1. Consider the following series. Is it absolutely convergent, conditionally convergent, or divergent? DO _ n+1i 3 1) 1:1 2. 1What is the radius of convergence of the following series? 397}, + 1);:z\" n=1 3. Consider the series ln(1 + :12) Find one of its power series. 4. Determine the Maclaurin series for cos(:r) as well as its radius of convergence. (Hint: Use term-by-terrn differentiation ) 5. How many terms of the Maclaurin series for cm are needed to approximate sin to within 10'10 for 0 S :1: g 1