In the following problems you will find a decimal approximation of the number e. e is a transcendental number. An- other example of a transcendental number is the number 7. While IT was defined to be equal to the ratio of the circumference of a circle to the diameter of a circle, the number e is defined to be equal to the limit lim (1 + x) . x -+0 A) Fill in the table below with the values of f(a) if f(a) = (1 + ac) . Round the values in the table to four decimal places. 0.1 - 0.01 - 0.001 - 0.0001 0 0.0001 0.001 0.01 0.1 (1 + x) i und B) Use the table to created above to find the lim f(x). Give the limit accurate to three decimal x-+0 places. lim f(x) ~ x- 0 C) If the number e := lim (1 + x) ? , give a decimal approximation of e that is accurate to three x -+0 decimal places. e~ e10 -9 -8 -7 -6 -5 -4 - -2 1 2 3 4 5 6 7 8 9 16 O For the graph f(a) above, find: Find: lim f(x) = X x- -2 lim f(x) = X x- -2+ lim f(x) = X x- -2 lim f (a) = X 2- -5- lim f (20) = 5 x- -5 lim f(x) = 4 f ( - 2) = -1 f ( - 5) = 8