AS/A2 Pure 1 Pure 2

P3 Topic 3: Series
The binomial series (1 + x)n , where n is rational and -1 < x < 1
This formula (provided in the formula book) is used to expand binomial expressions:

Enter a value for n: How many terms?

What happens if n is an integer and you choose a large number of terms?

Using the binomial series (1 + x)n for approximations

Enter a value for n: Enter a value for x: How many terms?

"Exact" answer: % error:

Pay close attention to the case where n is not an integer and x is not between -1 and 1. What happens if x is not in this range and n is an integer?

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