# square root using Taylor series

Discussion in 'Math' started by smslca, Jun 6, 2010.

1. ### smslca Thread Starter Member

May 11, 2009
26
0
As I am new to Taylor series, and im little confused, and in an urgent to expansion of sqrt
I want Taylor expansion for

$sqrt{[(100*c)+21-p]^2-[8400*c]}
$

where "p" is constant. and "c" is variable.
and c>=1,

I need it in urgent.can anyone please expand it for me.

2. ### Papabravo Expert

Feb 24, 2006
10,340
1,850
The first requirement is that the function be infinitely differentiable around the point of expansion. Can you differentiate this function in some neighborhood? What point do you want the expansion to be around?

3. ### Redbelly98 New Member

Jan 16, 2010
5
0
Often, one of the terms under the radical is known to be significantly larger than the other(s). In those cases, you'd expand around that larger term -- either
[(100*c)+21-p]²​
or
[8400*c]
in this case.

(But if it's the latter term, we are in trouble!)