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MA103 Midterm, Fall Term 2008Page 1Disclaimer:Tests and exams from previous o/erings of mathematics courses are posted to the on-line ExamBank, administered by the Mathematics Assistance Centre, as a courtesy to WLU students.Past examsshould be used for study purposes only, and do not replace completing assigned homework.Students makinguse of the Exam Bank should be aware that the emphasis and scheduling of course content will vary term-by-term, at the discretion of the current course instructor.These tests should be used as a guide only, andnot as a model, of what to expect for the current term.Total Marks:100 marks1.[10marks]Short answer questions °no justi±cation necessary.(a) State a function that has an in±nite discontinuity atx= 0and a jump discontinuity atx= 3.(b) Isf(x) =x2=3continuous atx= 0, di/erentiable atx= 0,or both continuous anddi/erentiable atx= 0?2.[8marks]Considerf(x) = 1°p°x.(a) State the domain and range off(x).(b) State the domain and range off°1(x).3.[15marks]Evaluate the following limits.