Using Matlab

Natural log of 2 can be estimated through alternating harmonic series defined as:

Write an m-file in which a for loop is used to iterate over k (k=1:100) and to calculate the alternating harmonic series value for each k, and assign it to L(k,1). L(k,2) should be assigned as log(2) in each iteration.

See at what k the alternating harmonic series value (column 1 of L) is approaching log(2) (column 2 of L). Also plot the first column of L with a black solid line, and use hold on to plot the second column of L with a blue line in the same figure. See how the alternating harmonic series value merges to log(2) value. (10 points)