Binomial Expansion Flashcards
1
Q
How could the accuracy of a binomial expansion be more accurate?
A
- It can be improved through using more terms from the binomial expansion
- It can be improved through using x terms closer to 0
2
Q
What values of x is the expansion of (1 + bx)^n valid for?
A
Where n is negative or a fraction, x is valid for: | bx | < 1 or | x | < 1/b
3
Q
What values of x is the expansion of (a + x)(1 + bx)^n valid for?
A
Still | bx | < 1 or | x | < 1/b , ignore first bracket as it’s not to the power of anything
4
Q
What values of x is the expansion of (1 + x/b)^n valid for?
A
x/b | < 1, so | x | < b
5
Q
What values of x is the expansion of a(1 + b/ax)^n valid for?
A
a/bx | < 1, so | x | < b/a
