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1.02Introduction to limits

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1.02Introduction to limits

Speed limit the speed which you can reach but not go over

“I’ve hit my limit” I’ve had enough, I can’t take any more

In calculus, a limit is the intended value of a function

A limit will not exist if the function is approaching an undefined value (ie ∞ )

means the limit approaching 3 from the right

means the limit approaching 3 from the left

For a limit to exist, the right-hand limit (RHL) and the left-hand limit (LHL) must both exist and must be equal

Therefore, the limit does not exist

- Limits can be evaluated 3 ways:
- Graphically
- Algebraically (several different method)
- Using the Sandwich Theorem (only some limits) also known as the squeeze theorem

Use your graphing calculator to evaluate each of the following limits (calculator should be in RADIANS)

- From the Finney textbook
- P. 62 # 1 – 6
- P. 64 # 45 – 47 (instructions are on p. 63)