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Do Now:

Do Now:. More Limits. Objective: SWBAT Evaluate one sided and two sided limits, and determine if a limit exists graphically. One Sided Limit Theorems. If both one sided limits are the same, then the limit exists, and is same value. If and then

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Do Now:

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  1. Do Now: OBJECTIVE: Evaluate one sided and two sided limits, and determine if a limit exists graphically

  2. More Limits Objective: SWBAT Evaluate one sided and two sided limits, and determine if a limit exists graphically OBJECTIVE: Evaluate one sided and two sided limits, and determine if a limit exists graphically

  3. One Sided Limit Theorems • If both one sided limits are the same, then the limit exists, and is same value. • If and then • If the one sided limits are not the same, then the limit does not exist. • If and and then OBJECTIVE: Evaluate one sided and two sided limits, and determine if a limit exists graphically

  4. Examples OBJECTIVE: Evaluate one sided and two sided limits, and determine if a limit exists graphically

  5. More Time – Limits that go to Infinity • If a function does not converge to an exact value from both sides, then the limit does not exist. • However, we can give more information than DNE for some limits if the function increases/decreases asymptotically OBJECTIVE: Evaluate one sided and two sided limits, and determine if a limit exists graphically

  6. Example • Thus, if a function goes to infinity or negative infinity at a point, when you take the limit, state that. • The same rules about one side limits apply OBJECTIVE: Evaluate one sided and two sided limits, and determine if a limit exists graphically

  7. Example • Thus, if a function goes to infinity or negative infinity at a point, when you take the limit, state that. • The same rules about one side limits apply OBJECTIVE: Evaluate one sided and two sided limits, and determine if a limit exists graphically

  8. OBJECTIVE: Evaluate one sided and two sided limits, and determine if a limit exists graphically

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