For the series n=1(1)n7n0.5+3\displaystyle {\sum_{{{n}={1}}}^{\infty}}\frac{{\left(-{1}\right)}^{{n}}}{{{7}{n}^{{0.5}}+{3}}} calculate the sum of the first 3 terms, S3\displaystyle {S}_{{3}}.
S3=\displaystyle {S}_{{3}}=  
Include several decimals in your answer.
Now find a bound for the error.
|error| \displaystyle \le