How to evaluate the left right and general limit from a graph with holes

How to evaluate the left right and general limit from a graph with holes

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the analysis of functions and graphs, focusing on understanding limits and discontinuities. It begins with a review of functions and graph interpretation, highlighting removable discontinuities. The concept of limits is introduced, explaining how to evaluate them as values approach infinity or specific points. The tutorial emphasizes the importance of evaluating limits from both the left and right to determine if a general limit exists. It concludes with examples of limits at discontinuities, stressing that a general limit does not exist if the left and right limits differ.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What values are approached when evaluating the limit as X approaches 0 from the right?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the conditions under which a general limit does not exist.

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