Limit Basics Quizzes, Questions & Answers

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Explore the fundamentals of calculus with Quiz 1 on Limits. This quiz assesses your ability to interpret and analyze graphical data to determine limits, enhancing your mathematical reasoning and problem-solving skills in calculus.

Questions: 6 | Attempts: 17439 | Last updated: Apr 5, 2024

Sample Question 1
$limit as x rightwards arrow 0 of fraction numerator x squared over denominator 2 x plus 1 end fraction equals$

DNE

1

0

-1

Sample Question 2
$limit as x rightwards arrow 0 of fraction numerator blank to the power of x over denominator cos x end fraction equals$

DNE

1

0

-1

Connections Between Function Features And Limits

What does different limits information tell us about the features of a function?

Questions: 5 | Attempts: 475 | Last updated: Mar 20, 2023

Sample Question 1
Select all the places to look for extreme points (maxima, minima):

Where the instantaneous rate of change is zero

Where the instantaneous rate of change does not exist

At the endpoints of the interval of interest

Where the function value is zero

Sample Question 2
Which of the following must be true if a function f(x) does not have a minimum on an interval [a,b].

F(x) must approach negative infinity somewhere in the interval [a,b]

F(x) must have a discontinuity on [a,b]

F(a) must be greater than f(b)

F(x) must have a maximum on the interval [a,b]