In this lesson, we will learn how to interpret the formal epsilon–delta definition of a limit and find the value of delta for a given epsilon.

Students will be able to

Q1:

Find the largest πΏ>0 such that if |π₯β5|<πΏ, then |||1π₯β15|||<110. Give your answer as a fraction.

Q2:

Find the largest πΏ>0 such that if |π₯β5|<πΏ, then |||1π₯β15|||<π. Give your answer as a fraction involving π.

Q3:

Find the largest π>0 such that if |π₯βπ|<π, then |||1π₯β1π|||<π. Give your answer as a fraction involving π and π.

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