The harmonic series is defined as J(n)- y k-1 (a) Write an R function that can identify the number of terms n required for the sum to first exceed some arbitrary value M. Use the code to find values of n for M 5, 10, and 15 (b) Use the R function to make a plot of how fast the number of terms increases as M runs from 1 to 15 through the integers. It may be helpful to transform the output, if this helps to see any pattern more clearly in the plot