- Show that the first six terms of the binomial series for are
- For let be the th coefficient in the binomial series and let denote the remainder after terms, i.e.,
for . Prove that
- Prove the validity of the identity
Use this identity to compute the first ten decimal places of .
From section 11.15, we know binomial formula for exponent -1/2. From that we get a_n = [1*3*5*…*(2n-1)]/[2^n*n!]*(1/50)^n, and then by using hints one can solve this.