please I need help for setting up the questions. Thank you

1. Write an alternating infinite series that is conditionally convergent using an 8, 2 and a 3. Explain why it is conditionally convergent. 2. Write a geometric infinite series that converges to 12 and uses a 2, 3, and 4. 3. Write an infinite series using an exponential function, a polynomial function and a factorial expression containing a 6 and a 9. Determine if the series converges and specify which test you used. 4. Write a simple rational function containing a 6 and a 7 and then express it as an infinite power series. 5. sin (x) x0 -dx Choose any 2 different numbers between 2 and 5 to fill in the boxes. Express the integrand as a Maclaurin series and then approximate the integral using the first 3 terms.6. Write a power series that has at least: a polynomial function centered at 3 and an exponential function containing a 5. Find the radius and interval of convergence (check endpoints)