how can we expand (1+x)^(1/2) ??


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Question Number 13327 by Nayon last updated on 18/May/17

$h o w c a n w e e x p a n d {(1 + x)}^{\frac{1}{2}} ? ?$
	Answered by prakash jain last updated on 19/May/17

	${(1 + x)}^{y} = 1 + y x + \frac{y (y - 1)}{2!} x^{2} + \frac{y (y - 1) (y - 2)}{3!} x^{3} +$ $. . . t o i n f i n i t y$ $The above series expansion$ $is valid for ∣ x ∣< 1 (f o r c o n v e r g e n c e)$ ${(1 + x)}^{1 / 2} = 1 + \frac{1}{2} x + \frac{\frac{1}{2} (\frac{1}{2} - 1)}{2!} x^{2} + . . .$
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