MA103 Midterm, Fall Term 2009Page 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:70 marks1. For each of the following questions, write the correct answer in the space provided. No justi°cationsare necessary.(a)[2marks]limx!12(x°1)2=(b)[2marks]limx!3+ln°x2°9±=(c)[2marks]limx!0tan (2x)sinx=(d)[2marks]Iff(x) =²xifx <0exifx±0, thenf(x)is not continuous atx=2.[5marks]Supposefis a function such thatln (1 +x)x²f(x)²x2+ ln (1 +x)xfor allx2(0;1).