Exercise 1.3 : Approximation of functions The function (1) = can be approximated by the series ()~1+x+パ++ as long as x]

Extracted text: Exercise 1.3 : Approximation of functions The function (1) = can be approximated by the series ()~1+x+パ++ as long as x] < 1.="" we="" would="" like="" to="" explore="" how="" many="" terms="" are="" needed="" to="" make="" the="" difference="" between="" f(x)="" and="" this="" series="" approximation="" smaller="" than="" a="" given="" tolerance.="" for="" example,="" for="" an="" error="" of="" 1x="" 10-="" and="" x="0" only="" one="" term="" from="" the="" series="" is="" needed,="" while="" for="" x="1/2" =="" 2="" 1-(1/2)="" and="" 1.="" 1.="" 1+ラt="" *="" -="" 1.9375="" 22="" so="" n="5" terms="" is="" enough="" for="" an="" error="" of="" 1="" x="" 10"="" and="" x1/2="" (a)="" write="" a="" function="" void="" numberofterms="" (double="" x,="" double="" error,="" int="" n)="" that="" will="" for="" any="" value="" of="" x="" less="" then="" 1="" in="" magnitude="" compare="" the="" series="" to="" the="" exact="" function="" and="" determine="" the="" minimum="" number="" of="" terms="" needed="" to="" make="" their="" difference="" less="" than="" a="" specified="" error.="" make="" sure="" you="" protect="" your="" function="" against="" bad="" inputs="" using="" control="" structures.="" (b)="" write="" a="" driver="" program="" that="" tests="" the="" function="" numberofterms="" written="" in="">


Extracted text: The report should contain the following sections: 1. list of files: list of each file contained in your submission. 2. usage: This section should explain how to use your program. 3. implementation: this section should provide a brief description of each of your program organization and its implementation. 4. Bugs: This section should mention any known bugs. If you are unaware of any bugs, simple place "NONE" under this heading.