10FallHwk03

10FallHwk03 - Math 2413 Limits At Infinity Evaluate each of...

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Math 2413 Homework Set 3 10 Points Limits At Infinity Evaluate each of the following limits. 1. 2 3 242 lim 78 t tt t fi¥ +- + 2. ( )( ) 3 42 lim 1 06 z zz z -+ + 3. 24 4 1 lim 6 38 p pp fi-¥ 4. 32 23 4 lim 7 x xx - -- - + ee 5. Evaluate 2 2 14 lim 67 y y y fi¥ + + and 2 2 14 lim y y y fi -¥ + + . Continuity 6. Determine where the following function is NOT continuous. () 2 7 28 44 2 gx = - 7. Use the Intermediate Value Theorem to show that somewhere in the interval [-15, -7] there is a root of ( ) ( ) ( ) 4 ln 1 0 sin x f x = . Note that you aren’t being asked to actually find the root, only show that one exists. 8. The function ( ) ( ) sin2 t A = e will the value of 8 somewhere in the interval [0, 5]. Use the Intermediate Value theorem to find a span of width of no more that ½ in which the function will have a value of 8. Note that there are multiple answers to this question and any of them will be accepted. Continued on Back &
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Math 2413 Homework Set 3 10 Points Definition of the Derivative
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10FallHwk03 - Math 2413 Limits At Infinity Evaluate each of...

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