Mini Math Wars. Review of Limits Windows vs. Doors I will pick a person to answer. If correct = +1; If incorrect other team can steal that point. Round is over after pts awarded; question goes to other side of room. Mini Math Wars. #1) . Mini Math Wars. #2) . Mini Math Wars. #3) .
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Review of Limits
Windows vs. Doors
I will pick a person to answer.
If correct = +1; If incorrect other team can steal that point.
Round is over after pts awarded; question goes to other side of room.
1. Be able to evaluate continuity of a function using left and right hand limits
2. Be able to apply the Intermediate Value Theorem to closed interval functions.
Continuity and One-Sided Limits
YES! The function is CONTINUOUS!!
NOT CONTINUOUS at x = 2!
IF the function is continuous, then the limit must exist!
At vertical asymptotes!
x = -4
What can you cancel?
x = 5
f (c) =
Verify that the IVT applies to the given function on the given interval. Then find the value of c guaranteed by the theorem such that f(c) = 0.
1. Is f (x) continuous on [0, 3]?
2. Is 0 in the interval [f (0), f ( 3)]?