1. The problem statement, all variables and given/known data Find a taylor series for f(x)=sq. rt. of X about c=1 2. Relevant equations N/A 3. 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: f(x)= 1 f'(x)=1/2 f''(x)=-1/4 f'''(x)=3/8 f^4(x)=-15/16 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. Thank you!