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Finding Limits Algebraically

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Presentation on theme: "Finding Limits Algebraically"— Presentation transcript:

1 Finding Limits Algebraically

2 Constant Functions 𝑓 𝑥 =𝑏 𝑥→𝑐 Lim 𝑓 𝑥 =𝑏

3 Identity Function 𝑓 𝑥 =𝑥 𝑥→𝑐 Lim 𝑓 𝑥 =𝑐

4 Sum of functions 𝑓 𝑥 =𝑥 𝑔 𝑥 =2 𝑥→𝑐 Lim 𝑓 𝑥 +𝑔(𝑥)= ?

5 Difference of functions
𝑓 𝑥 =𝑥 𝑔 𝑥 =2 𝑥→𝑐 Lim 𝑓 𝑥 −𝑔(𝑥)= ?

6 Product of functions 𝑓 𝑥 =𝑥 𝑔 𝑥 =2 𝑥→𝑐 Lim 𝑓 𝑥 ∗𝑔(𝑥)= ?

7 Quotient of functions 𝑓 𝑥 =𝑥 𝑔 𝑥 =2 𝑥→𝑐 Lim 𝑓 𝑥 /𝑔(𝑥)= ?

8 Limit of a power 𝑓 𝑥 = 𝑥 3 𝑥→𝑐 Lim 𝑓(𝑥) 𝑛 = ?

9 Limit of a monomial 𝑥→𝑐 Lim 𝑎∗𝑥 𝑛 = ?

10 Limit of a polynomial 𝑃 𝑥 = 3𝑥 3 +2𝑥+5 𝑥→𝑐 Lim 𝑃(𝑥)= ?

11 Limit of a root 𝑓 𝑥 = 𝑥+5 𝑥→𝑐 Lim 𝑓(𝑥)= ?

12 Find the following Limits

13 Find the following Limits

14

15

16 Limits Quiz on Friday


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