Perturbation Theory

Question 1

Define singular equation

Answer 1

Order of equation changes when epsilon = 0

Question 2

What do you use perturbation methods for?

Answer 2

To find x when like its hard to
Assume x is power series in epsilon
Then you simplify using Taylor series

Question 3

Alternate way of writing Taylor series

Answer 3

f(x+Δx) = f(x) + f’(x)Δx + … + f^n(x)Δx^n/n!

Not quite sure about the last term but yes for the first two - hopefully you only need those

Question 4

Normal way of writing Taylor series

Answer 4

f(x) = f(a) + f’(a)(x-a) + … + f^n(a)(x-a)^n/n!