Calculus Time!

1234567891011121314151617181920
Across
  1. 2. this theorem states that the limit of an integer p of as function is just that power of limit.
  2. 5. when the limit of the function exists, but one or both of the other two conditions is not met.
  3. 7. this theorem states that if n is a positive integer, the limit of nth root of a function is just the nth root of the limit of the function, provided the nth root of the limit is a real number.
  4. 8. exists when the two-sided limit does not exist, yet not equal to each other.
  5. 12. A law of limit theorem, a quotient of a function is equal to the quotient of the limits of the individual functions, the denominator is not equal to 0.
  6. 13. when a limit is not existing
  7. 15. discontinuity exists when one of the one-sided limits of the function is infinite.
  8. 16. limit is either of the two limits of a function f(x) of a real variable x as x approaches a specified point either from below or from above
  9. 18. limit of Euler to the power of x, as x approaches to 0.
  10. 19. When a function is not continuous at a point.
  11. 20. another term for radical theorem
Down
  1. 1. its limit is itself
  2. 3. when the denominator of a function is equal to 0.
  3. 4. A law of limit theorem,similar to addition theorem, product of two limit functions are the result.
  4. 6. A law of limit theorem, a sum of a function is the sum of the limits of the individual functions, subtraction is also included.
  5. 9. number that has value 2.718281....
  6. 10. at x = a if - and only if - it meets three conditions.
  7. 11. is the value that a function or sequence "approaches" as the input or index approaches some value.
  8. 14. limit of sin t, as t approaches to 0.
  9. 17. the function has to approach the same value regardless of which direction x comes from.