The format of an answer does not matter to me; e.g., you need not be concerned with simplifying radicals, rationalizing fractions, and the like. Use exact valuesthroughout; without a calculator present, this should be very straightforward. Angles are assumed to be measured in radians unless explicitly denoted with the degree sign, 45 ≠ 45⁰, e.g.You are expected to know and work with exact values for the trigonometric functions evaluated at angles on the unit circle. You should be able to: (This list may not be exhaustive –I have done my best!) Evaluate a limit graphically: two-sided, one-sided, infinite limits, and limits at infinity. Evaluate a function at a point, f(a). Recognize f(a) might not be the limit of f(x) as x approaches a. Evaluate a limit analytically: use direct substitution or algebraic manipulation as needed for x →a; use analysis of non-zero/zero form and signs of factors for infinite limits; use technique of dividing by highest power of x in denominator for x →±∞. Apply the Squeeze Theorem to evaluate a limit; Find vertical and horizontal asymptotes, showing appropriate limits to justify.
Derivative, Mathematical analysis, Continuous function, Limit of a function
As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.
Temple University Fox School of Business ‘17, Course Hero Intern
I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.
University of Pennsylvania ‘17, Course Hero Intern
The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.
Tulane University ‘16, Course Hero Intern
Ask Expert Tutors
You can ask 0 bonus questions
You can ask 0 questions (0 expire soon)
You can ask 0 questions
(will expire )