|Final exam: Wednesday, March 22, 7-10pm in PCYNH 109. Bring ID!
Last Quiz 4: Today (last one)
Today: 11.12 Applications of Taylor Polynomials
Next; Differential Equations
This section is about an example in the theory of relativity. Let be the (relativistic) mass of an object and be the mass at rest (rest mass) of the object. Let be the velocity of the object relative to the observer, and let be the speed of light. These three quantities are related as follows:
Let's compute the Taylor series of . We have
And we can ignore the higher order terms if is small. But how small is ``small'' enough, given that appears in an infinite sum?