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Limits. By Erica Brackman. A Limit is…. The continuity of a function at a point of its domain The value the graph approaches at a certain point. Expressed with the notation: where a and L are numbers. Finding a Limit. Step 1: Simplify the function. Finding a Limit.
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Limits By Erica Brackman
A Limit is… • The continuity of a function at a point of its domain • The value the graph approaches at a certain point. • Expressed with the notation: where a and L are numbers
Finding a Limit • Step 1: Simplify the function
Finding a Limit • Step 2: Plug in the value
Limit Rules: If and then… • The Sum Rule:
Limit Rules: If and then… • The Difference Rule
Limit Rules: If and then… • The Product Rule
Limit Rules: If and then… • The Quotient Rule • M CANNOT equal 0
Limit Rules: If and then… • The Constant Multiple Rule
Find the Limit at 1 • g(x)= • Step 1: Simplify • Step 2: Plug in • f(x)=2x-3 • Step 1: Simplify • Can’t be simplified • Step 2: Plug in
Given the two limits: • The Sum Rule • The Difference Rule • The Product Rule
Given the two limits: • The Quotient Rule • The Constant Multiple Rule
Why was the math teacher forbidden to show a Calculus movie in class? It had no limits!