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Worksheets & Printables > Word Problems > High School Word Problems

Infinite Limits

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Infinite Limits preview 2

Look Inside · 8 pages

Infinite Limits presentation cover stating the learning objective: understand the concept of vertical asymptotes
Cover and learning objective for the presentation
Definition slide introducing vertical asymptotes and function values approaching positive or negative infinity
Introduction to vertical asymptotes
Formal definition slide listing six infinite-limit conditions for x = a to be a vertical asymptote
Formal definition and one-sided limit notation
Finding the limit of 1/x as x approaches 0 in three steps, then reading the graph's left and right behavior
Worked example: when direct substitution fails
Concluding that 1/x has a vertical asymptote at x = 0 because the right limit is ∞ and the left limit is −∞
Worked example finished; links graph to the definition
Evaluating limits of 6/x² from the right of 0 using a table of shrinking x values that give 600 up to 60000000
Model the table method for right-hand limits
Evaluating the left-hand limit of 6/x² using negative x values from −0.1 to −0.0001, with results growing to ∞
Contrast with the right-hand case on the previous slide
Both-sides limit of 6/x² at 0 equals ∞ because the one-sided limits agree, shown with a graph of the curve
Wrap-up of the example; check one-sided limits agree
Attributes
Subject

Math, Calculus

Grades

Grade 12

Types
File

Microsoft PowerPoint

Editable
No
Author
Maths Support Centre
Rating
Add To Collection
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About This Product

PowerPoint presentation, explaining what happened when a limit goes to infinity clarifying the concept of infinite limits and the concept of vertical asymptote. 

What's Included

PowerPoint presentation, 9 slides with the explanation and 2 examples about the topic.

Resource Tags

limits calculus precalculus

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