Let f(x) = 0.006x(10 x) for 0 S x S 10 and f(x) = 0 for all other values of x. 3. Verify that f is a probability density function. h. Find P(2 s X S 6). . 2" _ Test the series 2&1 F for convergence or divergence. Include answers to the following questions along with your work to determine convergence: 3. What was your rst impression as to which test/method to use on the series and why? b. If you had to start over and try a different test, explain which you chose next and why. What did you learn from your rst attempt that you incorporated into your next attempt? c. Do you think it would be possible to determine convergence for this series in another way? Why or why not? Find the radius of convergence and interval of convergence of the (-3) nxn series Zn=o Vn+1. . . 1 . . . Fund a power series representation for 5. Then determine Its radius of convergence and interval of convergence. Find the Maclaurin series of the function f (x) = 8* and its radius of convergence