Learning about Limits

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Learning About Limits MAT8101
What's a Limit? As you get increasingly close to an x-value (let's call that x-value "a") on a graph or in an equation, f(x) will get increasingly close to being a specific y-value. That specific y-value you're getting closer and closer to is called the limit (L). Sometimes, it is the same as f(a). Sometimes it is not the same as f(a). Limits have nothing to do with the actual y- value when x = a.... They are just what the function "should be" then. Jc a) = - can / " - value L (a)
Notation We'll use these two equations to find out the limit of each as x approaches 2. General Notation: lim !→# $ % = ' Notation for g(x) limit if a = 2: Notation for h(x) limit if a = 2: ( % = 2% + 3 % = % $ − 4 % − 2 YouTube Video " a lim (2 × +3)--2 fig , =L 2 = 212 ) -13 = É ( = 4+3 = 4 ¥ = 7 = f- = +2
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