2.) (a) Prove that the following is true for |x|

2.) (a) Prove that the following is frue for IXI < 1. x 5 9 x 9 (b) Use the first two terms to approximate the following integral numerically. 4 dx Ans. 0.49375 (c) Use the fact that the evaluation of part (b) involves an alternating series to show that the error in the approximation is at most 0.00022. [Hint: look at in the altemating series]