Basic Calculus

123456789101112131415161718
Across
  1. 4. The limit of (x+1) if x < 4, as x approaches 4
  2. 6. The three conditions of continuity are satisfied
  3. 7. _________ functions are continuous everywhere
  4. 9. If the limit of f(x) as x approaches c and the limit of g(x) as x approaches c both exist, then the limit of (f(x) + g(x)) as x approaches c always exists.
  5. 12. The limit of cos x as x approaches pi
  6. 14. This theorem says that the limit of a multiple of a function is simply that the multiple of the limit is the function
  7. 15. The limit of (x^2 – 2x + 4) as x approaches 1
  8. 16. Discontinuity in which a point on the graph that is undefined or does not fit the rest of the graph
  9. 18. The limit of f(x) as x approaches 0
Down
  1. 1. One of the three conditions of continuity is not met
  2. 2. The limit of a sum of functions is the sum of the limits of the individual functions
  3. 3. The limit of (1/x+1) as x approaches 1
  4. 4. The limit of (x+3) if x < 1, as x approaches 1
  5. 5. 0/0
  6. 8. Discontinuity which at x=c, if the limit of f(x) as x approaches c it DNE
  7. 10. The value that a function or sequence "approaches" as the input or index approaches some value
  8. 11. This theorem states that the limit of an integer power p of a function is just that power of the limit of the function
  9. 13. If f(c) = the limit of f(x) as x approaches c-
  10. 16. If f(c) = the limit of f(x) as x approaches c+
  11. 17. The limit of log x as x approaches 1