Notes

• continuity

  • how to determine continuity?
  • (2*x+3)/x
  • take the limit of x^2 + 3x - 1 as x approaches 2
  • (x-1)/(2x^2 -x -1) at c = 0 and at c = 1

• key takeaways

  • Limits describe function behavior as input approaches a value.

  • Continuity is a property of a function with no abrupt changes.

  • A function is continuous at a point if its limit exists and is equal to the function value.

  • Discontinuities include removable, jump, and infinite.

  • Limits and continuity are crucial in defining derivatives and integrals.