1110-fa2011-PRELIM-1-SOLUTIONS

# Therefore the product must have lim x 2 x 2 x 2 4 lim

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Therefore, the product must have lim x 2 - x 2 x 2 - 4 = lim x 2 - x 2 x + 2 1 x - 2 = - . (Alternately, we can evaluate f ( x ) for x close to, but smaller than, 2 , and see that we get a very large negative number.) (e) On the axes provided below, sketch a graph of f ( x ) , using your answers from (a)-(d). Plotting a few points, using the fact that f ( x ) is even and hence symmetric about the y -axis, and using the asymptotes we found by computing the limits above, we sketch the graph as follows. !"#\$%& \$"#\$%& !'( \$'(
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• Fall '06
• MARTIN,C.
• lim, Limit of a function

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