Evaluate the limit of a rational expression by applying direct substitution

Evaluate the limit of a rational expression by applying direct substitution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains why direct substitution cannot be used when evaluating the limit of a function as x approaches 2 due to a zero in the denominator, making the function undefined. The instructor demonstrates how to simplify the expression by factoring the numerator and denominator, allowing the limit to be evaluated as x approaches 2. The result is a hole in the graph, and the limit is calculated to be 5. The lesson concludes with a reminder about the test's free response portion and an optional graph confirmation.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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