Lecture 2_3Ma141

Lecture 2_3Ma141 - Note: with examples b and c , you can...

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Outline of Lecture Math 141 Tuesday, Jan 22 nd Begin by finishing the lecture on definition of limits Sec. 2.2 Section 2.3 – Calculating Limits using the Laws of limits Limit Laws start on p. 108 #1 - #11 Make sure you know these and can these in practice. Examples for class: a) Given the following information about the limits of function , f(x), g(x), and h(x), lim x a f ( x ) = 4 lim x a g ( x ) = - 2 lim x a h ( x ) = 0 answer the following questions concerning these limits. i) lim x a ( f + g )( x ) = ii) lim x a 5 g ( x ) = iii) lim x a ( g ( x )) 2 = iv) lim x a g ( x ) h ( x ) = v) lim x a f ( x ) g ( x ) = b) h/w #12 lim x 4 x 2 - 4 x x 2 - 3 x - 4
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c) h/w # 16 lim x 0 1+ h - 1 h
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Unformatted text preview: Note: with examples b and c , you can numerically check your limits. With your calculators, check the limit you found in #16. (What is F(x)? What should the x-values be to check? ) X F(x) Squeeze Theorem p. 114 Idea f ( x ) g ( x ) h ( x ) and the limit of f(x) and h(x) are L then the limit of g(x) is L Picture on the board: Examples a) lim x x cos x b) h/w #30 lim x + x e x sin( p x ) More examples: a) h/w #36 F ( x ) = x 2- 1 | x- 1| b) h/w #38 f ( x ) = x- [| x |]...
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Lecture 2_3Ma141 - Note: with examples b and c , you can...

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