Binomial expansion

Question 1

When do you use the General Binomial Expansion?

Answer 1

When n is negative or fractional

Question 2

Why is the general binomial expansion only valid for |x|<1?

Answer 2

It must converge to reach an answer

Question 3

How do you figure out the validity for a binomial expansion in the form (1+ax)^n

Answer 3

|ax|<1 -> |x|1/a

Question 4

How do you figure out the validity of for a binomial expansion in the form (a+bx)^n

Answer 4

|b/a|<1 -> |x|<a/b