Statics...

The value of it - 3 can be approximated by the infinite series given by 4 4 4 4 4 + + 2 x3x4 4 x 5 x6 6x7 x8 8 x 9 x 10 10 x 11 x 12 Write a recursive function in R which takes as input a positive integer n, and return as output the approximation of it - 3 which uses the first n terms of this infinite series Use your function to a. give the first 10 such approximations to it - 3, and b. find the smallest value of n such that the approximation using the first n term of the above series gives a value which estimates it - 3 with an error of at mos 10-10