These University functions, limits and continuity multiple choice questions check your understanding of functions, limits and continuity with 10 questions for pupils aged 18-19. Each question has four answers, and the right one is explained as soon as you choose.
University functions, limits and continuity multiple choice questions: the 10 questions
\(\lim_{x\to3}\frac{x^2-9}{x-3}=\)
\(\lim_{x\to0}\frac{\sin x}{x}=\)
In the \(\varepsilon\)-\(\delta\) definition, \(\delta\) usually depends on
\(\lim_{x\to\infty}\frac{2x+1}{5x-3}=\)
\(|x|/x\) at \(x=0\) has
The IVT requires \(f\) to be
\(\lim_{x\to0}x\sin(1/x)=\)
If \(f(1)=-2\), \(f(3)=4\) and \(f\) is continuous on \([1,3]\), then
\(\lim_{x\to0}\frac{1-\cos x}{x^2}=\)
A limit at \(a\) exists if and only if
How to use these University functions, limits and continuity multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the functions, limits and continuity lesson.
Finally, practise more with the functions, limits and continuity worksheet and the quiz. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.
Similar pages
LessonFunctions, limits and continuity – university Year 1 maths lesson to download as PDF
WorksheetFunctions, limits and continuity – university Year 1 maths worksheet with answers to download as PDF
AnswersFunctions, limits and continuity – university Year 1 maths worksheet answers to download as PDF
QuizFunctions, limits and continuity – university Year 1 maths quiz to download as PDF
TestFunctions, limits and continuity – university Year 1 maths test to download as PDF
Test answersFunctions, limits and continuity – university Year 1 maths test answers to download as PDF
StartersFunctions, limits and continuity – university Year 1 maths starters to download as PDFOther chapters in this level
LessonLogic, sets and proof techniques – university Year 1 maths lesson to download as PDF
LessonDifferentiation and its applications – university Year 1 maths lesson to download as PDF
LessonIntegration and the fundamental theorem of calculus – university Year 1 maths lesson to download as PDF
LessonSequences and series convergence – university Year 1 maths lesson to download as PDF
LessonVectors and systems of linear equations – university Year 1 maths lesson to download as PDF
LessonMatrices and determinants – university Year 1 maths lesson to download as PDF
LessonVector spaces and linear maps – university Year 1 maths lesson to download as PDF
LessonEigenvalues and eigenvectors – university Year 1 maths lesson to download as PDF