1.6-1 The number In may be calculated from the series In 2 = 1 -+}-+·.. It is known from analysis that this series converges and that the magnitude of the error in any partial sum is less than the...

Extracted text: 1.6-1 The number In may be calculated from the series In 2 = 1 -+}-+·.. It is known from analysis that this series converges and that the magnitude of the error in any partial sum is less than the magnitude of the first neglected term. Estimate the number of terms that would be required to calculate In 2 to 10 decimal places. 1.6-2 For h near zero it is possible to write tan h - 1 + 0(h") h tan h and - 1 + o(h®) h Find the values of y and 8 for which these equalities hold.