The language is C

3. Infinite sums (a) Write a program that calculates the value of In(2) using the series representation n 1-1 and terminate the calculation when the next term to be added is smaller than a pre- determined fraction of the sum, i.e., 10-5. Use your results to verify that 1-In(2). (b) Rearrange the above sum and group terms in a different order, eg Write a program that calculates the sum in equation (3) to the same accuracy. What do you observe? Why