1. Find an equation of the tangent line to the graph of the function

, at point

.
2. Find an equation of the tangent line to the graph of the function

, at point

.
3. For

apply Taylor's Theorem to verify the power series centered at

and find the radius of convergence.
4. For

apply Taylor's Theorem to verify the power series centered at

and find the radius of convergence.
5. Use the power series for sin
x to find the power series of the function
6. Use the power series for sin
x to find the power series of the function

.
7. Use the power series for cos
x to find the power series of the function

.
8. Use the power series for cos
x to find the power series of the function

.
9. Differentiate the appropriate power series to verify the derivative formula

.
10. Differentiate the appropriate power series to verify the derivative formula

.
11. Use Newton's Method to approximate the real zeros of the function

in the interval
12. Use Newton's Method to approximate the real zeros of the function

in the interval
