MAT232: CALCULUS IIModule 5—Infinite Series, Part 2TOPICSModule 5 covers the following topics:●finding Maclaurin polynomials of transcendental functions●approximating a function at a particular point using a Taylor polynomial●finding the error of the approximation using the Lagrange form of the remainder●approximating the function at a point to any desired level of accuracy●finding Maclaurin and Taylor polynomials to any degree●testing the endpoints of the interval of convergence for absolute and conditional convergence●using the fact that within the open interval of convergence, series can be differentiated andintegrated term by term●integrating and differentiating a series term by termYou may have wondered how it is possible for calculators to come up with values of transcendentalfunctions. For example, how is it possible to program a value for e4? The answer is that a Taylor polynomialis used to approximate that value. After all, polynomials only require sums of products of numbers that canreadily be programmed. Furthermore the Lagrange form of the remainder assures us of the level of accuracyrequired. Thus, the applications of Maclaurin and Taylor polynomials have an impact on all of us.STUDY MATERIALSTextbook Readings●Study sections 8.6, 8.7, and 8.8 in the course textbook. Then read the TechnicalCommentary topics given below.Technical CommentaryRead the following brief commentary topics for further explanations and notes on the material covered in thismodule. Following the commentary are video tutorials and suggested SelfCheck Exercises. Be sure to workthrough these practice exercises to help solidify the skills learned in the module and to prepare for themoduleending written assignment.