CALCULUS CROSSWORD!

4. high d low minus low d high over low low
6. if the summation of the absolute value of a of n converges, then the summation of a of n ___
9. ____ sum: used to approximate integrals
10. ___ value theorem: in the function y = f(x) at some point must be w = f(c)
12. ____ series is a polynomial function (with infinite items) whose coefficients are defined by a series
13. some really small number that is positive
16. when the derivative equals 0
17. slope of tangent line
19. ____ theorem of calculus

1. taylor series centered at x=0
2. a power series constructed to match the behavior of a non-polynomial function (construction centered at x=a)
3. a ____ converges if the sum is finite
5. ___ differentiation: finding the derivative of y with respect to x without having to solve for y
6. changes when the second derivative equals 0
7. the process of finding maximum and minimum values given constraints
8. a ____converges if the numbers approach a value
11. ___ convergence: a series will converge even when you take the absolute value of each term
14. type of integral without bounds
15. ____ of convergence is for which values of x will converge to f(x)
18. test most commonly used for factorials