Write a program to compute a table of the function f(x) = x sin л(1+20x) 2 over the (closed) interval [−1, 1] using increments in x of (a) 0.2, (b) 0.1 and (c) 0.01. Use your tables to sketch graphs of f(x) for the three cases (by hand), and observe that the tables for (a) and (b) give totally the wrong picture of f(x). Get your program to draw the graph of f(x) for the three cases, super- imposed.