Evaluating the limit of a continuous function

Evaluating the limit of a continuous function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of limits, focusing on the function X + 1 as X approaches 5. It uses graphical analysis to demonstrate how the function value approaches 6. The tutorial highlights the importance of continuity for direct substitution to work and introduces piecewise functions, emphasizing that direct substitution is only applicable when the function is continuous.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of the function F(X) as X approaches 5?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the graph of the function F(X) = X + 1 behaves as X approaches 5.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is a piecewise function and how does it relate to continuity?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a function to be continuous?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of direct substitution in evaluating limits.

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