Limits and Derivatives — Chapter Summary

For a body dropped from

For a body dropped from a cliff, the distance covered is s = 4.9t^2 metres in t seconds. Average velocities over smaller and smaller time intervals ne

A limit is the value

A limit is the value a function approaches as the input approaches a point. The limit may exist even if the function is not defined at that point. For

The left hand limit is

The left hand limit is the value approached from the left side of a point, and the right hand limit is the value approached from the right side. If th

If two limits exist

If two limits exist, then the limit of a sum, difference, product, or quotient equals the sum, difference, product, or quotient of the limits, provide

For a polynomial

For a polynomial, the limit at a point is found by direct substitution. For a rational function, direct substitution works when the denominator is not