Science:Math Exam Resources/Courses/MATH100/December 2011/Question 01 (d)/Statement

Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answers. Unless otherwise stated, it is not necessary to simplify your answers in this question.

Suppose f and g are continuous functions such that g(3) = 2 and

$\displaystyle \lim _{x\to 3}(xf(x)+g(x))=1.$

Find f(3).