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Finding Limits Algebraically

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Presentation on theme: "Finding Limits Algebraically"β€” Presentation transcript:

1 Finding Limits Algebraically

2 Constant Functions 𝑓 π‘₯ =𝑏 π‘₯→𝑐 Lim 𝑓 π‘₯ =𝑏

3 Identity Function 𝑓 π‘₯ =π‘₯ π‘₯→𝑐 Lim 𝑓 π‘₯ =𝑐

4 Sum of functions 𝑓 π‘₯ =π‘₯ 𝑔 π‘₯ =2 π‘₯→𝑐 Lim 𝑓 π‘₯ +𝑔(π‘₯)= ?

5 Difference of functions
𝑓 π‘₯ =π‘₯ 𝑔 π‘₯ =2 π‘₯→𝑐 Lim 𝑓 π‘₯ βˆ’π‘”(π‘₯)= ?

6 Product of functions 𝑓 π‘₯ =π‘₯ 𝑔 π‘₯ =2 π‘₯→𝑐 Lim 𝑓 π‘₯ βˆ—π‘”(π‘₯)= ?

7 Quotient of functions 𝑓 π‘₯ =π‘₯ 𝑔 π‘₯ =2 π‘₯→𝑐 Lim 𝑓 π‘₯ /𝑔(π‘₯)= ?

8 Limit of a power 𝑓 π‘₯ = π‘₯ 3 π‘₯→𝑐 Lim 𝑓(π‘₯) 𝑛 = ?

9 Limit of a monomial π‘₯→𝑐 Lim π‘Žβˆ—π‘₯ 𝑛 = ?

10 Limit of a polynomial 𝑃 π‘₯ = 3π‘₯ 3 +2π‘₯+5 π‘₯→𝑐 Lim 𝑃(π‘₯)= ?

11 Limit of a root 𝑓 π‘₯ = π‘₯+5 π‘₯→𝑐 Lim 𝑓(π‘₯)= ?

12 Find the following Limits

13 Find the following Limits

14

15

16 Limits Quiz on Friday


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