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Exam 1 Extra Credits (5 pts)
1
1. (1 pt) Use the Squeeze Theorem to prove lim ( ) = 0
→0
2. (1 pt) Find lim √( 4 + 2 2 + 4)3
→2
2 −1
3. (1 pt) Discuss the continuity of ( ) = −1
4. (2 pts) A particle is moving along a straight line so that its distance from the start is given by ( ) =
1
5 − 2 2 , where d is measured in feet and t in seconds. What is the particle’s instantaneous velocity at
= 2 second? (Note: to find any derivative, you need to use the “limit definition” way, do not use the
shortcuts).
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