If n is not a positive integer or zero, the binomial expansion of (1+y)n yields, for1 Fl

If n is not a positive integer or zero, the binomial expansion of (1+y)n yields, for−1<y<1, the infinite series

Use this generalized definition of binomial coefficients (which agrees with the one on page 12 for positive integral values of n) to evaluate

(a)

(b) √5 writing √5 = 2(1 + 1/4)1/2 and using the first four terms of the binomial expansion of (1+ 1/4)1/2.

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Fl Ft where (n)-n(n-1): ..: n-r+1) for for 1,2,3,.... 3 124