Limits and Derivatives – Notes

Idea of Derivatives

Limit:  ƒ(x) is the expected value of ƒ(x) at x = a is given the values of ƒ(x) when approaches a.

Left hand limit:  – ƒ(x) is the expected value of ƒ(x) at x = a given the values of ƒ(x) near x to the left of a.

Right hand limit:  + ƒ(x) is the expected value of ƒ(x) at x = a given the values of ƒ(x) near x to the right of a.

Introduction to Limits

Limit:  ƒ(x) is the expected value of ƒ(x) at x = a given the values of ƒ(x) when x approaches a.

Left hand limit:  – ƒ(x) is the expected value of ƒ(x) at x = a given the values of ƒ(x) near to x to the left of a.