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**Unformatted text preview: **inverse of the function restricted to its domain. d. Sketch the graph of the function. 2. Solve for x : log 3 ( x 2 ) & 2 log 3 ( x 3 ) = 1 3. This distance travelled by a particle at time t is s ( t ) = t 2 + 3 t + 1 . Calculate the average velocity over the time interval [1 ; 4] . 4. Evaluate the following limits and justify your steps: a. lim x &! e x & e 2 x 1 & e x b. lim x &! tan 4 x tan 9 x 5. Determine the points at which the function is discontinuous and state the type of discontinuity: removable, jump, in&nite, or none of these: a. f ( x ) = x +1 4 x & 2 b. f ( x ) = [ x ] 1...

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