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# Note for MATH 263A with Professor Holston at Ohio-Groupwork2 solutions

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COURSE
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This 2 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Ohio University taught by a professor in Fall. Since its upload, it has received 35 views.

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Date Created: 02/06/15
Group Work 2 Solutions Do 28 page 93 Solution f is not differentiable at 0 in nite discontinuity 3 corner and 6 in nite discontinuity 2 Find the derivative using the de nition we 7 m Solutionfzlim h1T 1h11 170 h zh1z1i zh17z1 1 1 lim lim 1170 hzh 1 W 1170 xxh1m 2xX 1 3 Find the limit lim csc2z 70 1 1 Solution Since csc2z 2lt plugging in yields This implies the sm n one sided limits must each be ioo Since the function is always positive we must have lim csc2z 00 70 gt7 f 4 Find the tangent line of f x at z 1 Solution The line crosses the point 1 f1 11 The slope is given by f 1 so we need to compute f Observing tha z 7 1 z 12 1 we see that f 1 7 Ex gZ Hence in f 1 Thus the tangent Di 1 1 7 7X 7 y 2 2 f 1 E 0117 line is given by y 71 5 Identify all horizontal asymptotes of f 3 5 x 7 1 222 i 7 l2 7 V2 2 7 7 2 2 7 7 Solution lim z lim lim mace 375 1 mace 375 mace 375 V972 96 x 1 222 i 7 2 7 2 2 2 i 7 1 7 7 7 2 7 and lim W 7 lim 2 lim 7 3 w ioo 3 7 5 1 41700 3 7 5 41700 73 5 3 V972 796 x 2 i 2 So the horizontal asymptotes are y 7 y 6 Find the derivative using the de nition 2 ya i 1 z 2 2 it 1957171 95 21iz7217x7h Solution 9 71131 h 135 M17 z i h 7 m 1 2 i 2 h1izih1izilix2

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