- #1
defang
- 5
- 0
My question is as follows: Let f (x) = (1+x)^(1/2) – (1-x)^(1/2). Find the Maclaurin series for f(x) and use it to find f ^5 (0) and f ^20 (0).
I got: X + Riemann Sum { [ (-1)^(n-1) 1x3x5**x(2n-3) ] / (2^n) x n!} X^n (after combining two Riemann Sums together). And I got (7!5!) / 16 5! = 315. However, I tried to check my answer by taking derivative 5 times, and I got 105/16. Can anyone tell me what I did wrong? thanks
I got: X + Riemann Sum { [ (-1)^(n-1) 1x3x5**x(2n-3) ] / (2^n) x n!} X^n (after combining two Riemann Sums together). And I got (7!5!) / 16 5! = 315. However, I tried to check my answer by taking derivative 5 times, and I got 105/16. Can anyone tell me what I did wrong? thanks