Question

17120 pts): Find the sum of the telescoping series s-(- -)- Note the function (x) is positive, continuous, and decreasing on [11,0). Supply an argument verifying that fis decreasing on this interval: Using the Integral Test in the opposite direction than we usually use it, we can now conclude the improper integral below must converge. Evaluate it. (Note we will use the value of the integral below, so let's call that number 1.) 1=1 Idra Verify the value you give by showing a complete argument with antiderivatives and the evaluation of any necessary limits. Finally, compare the values S.1, and / +4, and arrange them in order from least to greatest.