Learning Resource Type

Classroom Resource

Convergence and Divergence of Integrals Practice

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This self-checking online assessment has 10 questions that will help students practice solving functions with infinite limits that converge or diverge. There are hints available on the screen, and there is an online scratchpad that students can use to work on the problems.

    Mathematics (2019) Grade(s): 09-12 - Precalculus

    MA19.PRE.7

    Determine numerically, algebraically, and graphically the limits of functions at specific values and at infinity.

    Unpacked Content

    UP:MA19.PRE.7

    Vocabulary

    • Limit
    • Convergent
    • Divergent
    • Continuous function
    • Discontinuous function
    • Discontinuity (infinite, jump, removable)

    Knowledge

    Students know:
    • How to graph the families of functions.
    • How to factor, simplify, and rationalize functions.
    • How to evaluate functions at a given input value.

    Skills

    Students are able to:
    • Identify continuity and discontinuity (if discontinuous, identify the type).
    • Calculate limits.

    Understanding

    Students understand that:
    • Functions have various types of continuity and discontinuity.
    • That limits can be determined numerically, graphically, and algebraically.
    • converging means that a limit exists, while diverging means that a limit does not exist.
    Link to Resource

    CR Resource Type

    Assessment

    Resource Provider

    CK-12
    Accessibility
    License

    License Type

    Custom
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