Left and right limits and continuity | Unit 1 and 2 VCE Maths Methods

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Now that we have returned to online learning during the COVID-19 pandemic, I will continue to record my lessons here on YouTube.

My Year 11 VCE Mathematical Methods class are now commencing their study of calculus In this topic, we will explore the concept of a rate of change, before developing the techniques required for differentiation.

In this video, we extend our understanding of limits by considering the concept of left and right limits. This then leads to a formal definition of continuity.

The class uses the Cambridge Senior Maths textbook for Unit 1 and 2 Mathematical Methods and the TI Nspire CAS CX / CXII calculator.
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Hi Ms. I was wondering why at 17:18 is f(a) not defined even though f(x) is?

frls
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I was wondering at 10.55 why is the limit as x approaches 5 from above and below equivalent.

frls