Find a taylor series for f(x)=sq. rt. of X about c=1
The Attempt at a Solution
I took the derivative of the sq rt of X, and then plugged in 1 for all the X's. I got:
My teacher said it's okay to take out the first 2 terms because I can't seem to find a pattern that includes them, so I have so far:
1+1/2(x-1) + Sigma where n=1 to infinity, of (-1)^n(x-1)^n/n!
The denominators seem to fit the pattern 2^n, and I've found the numerator to be (2n-1)!!
Can anyone find a pattern that doesnt use a double factorial? I've never used double factorials before, so I'm not even sure I'm using them correctly.