calc1-exam1f08 - if they exist. a ) v : b ) a - # 5....

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Math 111 EXAM 1, September2412008 Read each problem carefully. Show all your work for each problem! Use only the methods discussed in class. No calculators! l. (20 points) Find the limit if it exists. If the limit does not exist, explain why. a)"L%ffi b)lg#= c) ly,@# o);Sffi 2. (14 points) Use the definition of the derivative (as the limit of a difference quotient) to find the derivative of y : \tr" + L. 3. (15 points) Evaluate the following (include * oo and - oo as possible values of a limit). If the limit does not exist, explain why. , a) lim a;lY-," '' y7lI2* Yz*5Y*6 b) ]x.ry c) lim u+oo
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Unformatted text preview: if they exist. a ) v : b ) a - # 5. (l5points) Find # using the product ind quotient rules as appropriate (do not simplifr). a) a: (br3 + 2r-r)G + *) b)z: ffi c)w:@*#o 6. (12 points) Find the equations of all lines having slope -1 that are tangent to y : fi. 7. (12 points) Given the tunction f (*) : #, Find the values of r atwhich /(r) is discontinuous. For each r at which there is a discontinuity define, if possible, a new function, g(r), which extends f (r) to becontinuousat r. If acontinuousextension does not exist for a discontinuity explain why. sin0-6r a) b)...
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This note was uploaded on 03/30/2012 for the course MATH 111 taught by Professor ? during the Spring '05 term at NJIT.

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