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UFCalcSet7

UFCalcSet7 - Exercises UF Calculus Set 7 1 Evaluate the...

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Exercises UF Calculus Set 7 1. Evaluate the right, left, and overall limits at x = - 4 , - 1 , 0 , 5 , 7 . Write the symbols , -∞ , or ”dne” (does not exist) when appropriate. 2. The reaction of a muscle to an increasing stimulus is pictured below. Interpret the graph in terms of this application. What might be happening where the ”jump” in the graph occurs? How can the jump be explained in terms of limits? 3. Sketch an odd function f such that: lim x 0 + f ( x ) = - 6 ; lim x 2 f ( x ) = ; f (0) = 0 . Under these circumstances, what is lim x 0 - f ( x ) ? lim x →- 2 f ( x ) ? 4. Evaluate the limits: (a) lim x 0 + x 2 - 1 x (b) lim x 0 - x 2 - 1 x (c) lim x 0 1 + e x 1 - e x (d) lim x 0 1 + e x 1 - e x 2 (e) lim x 1 - ln(1 - x ) (f) lim x π/ 2 x tan( x ) 5. Write the domain of each function, and determine any vertical asymptotes. (a) f ( x ) = x 2 - 1 x 2 - x (b) f ( x ) = x 4 - x 2 (c) f ( x ) = 1 e x - 2 (d) f ( x ) = ln( x 2 - 2 x )

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6. Use a calculator to evaluate the functions below for
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UFCalcSet7 - Exercises UF Calculus Set 7 1 Evaluate the...

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