VIP Exclusive
BMath Bachelor of Mathematics VIP Practice Examination
BMath Bachelor of Mathematics — There is no standardized national certification exam for a Bachelor of Mathematics (BMath) degree; this is an original comprehensive practice examination modeled on the core curriculum of undergraduate mathematics programs such as the University of Waterloo's BMath, covering Calculus, Linear Algebra, Real Analysis, Abstract Algebra, Combinatorics, Probability & Statistics, Differential Equations, Number Theory, and Complex Analysis at a rigorous undergraduate level.
55
Questions
120m
Time Limit
70.00%
To Pass
Question 1 of 55👑 VIP
A student applies L'Hôpital's rule to evaluate lim_{x→0} (sin(3x) − 3x) / x³. After recognizing it as a 0/0 indeterminate form and applying the Taylor expansion of sin(3x) = 3x − 27x³/6 + O(x⁵), what limit does she obtain?
Questions 2–55 and full explanations are VIP-exclusive.