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|00000010| 31 70 74 2c 66 6c 65 71 | 6e 2c 65 70 73 66 2c 63 |1pt,fleq|n,epsf,c|
|00000020| 61 6c 63 5d 7b 61 72 74 | 69 63 6c 65 7d 0a 5c 6d |alc]{art|icle}.\m|
|00000030| 61 72 6b 72 69 67 68 74 | 7b 43 68 61 70 74 65 72 |arkright|{Chapter|
|00000040| 20 32 3a 20 57 6f 72 6b | 73 68 65 65 74 20 32 7d | 2: Work|sheet 2}|
|00000050| 0a 5c 62 65 67 69 6e 7b | 64 6f 63 75 6d 65 6e 74 |.\begin{|document|
|00000060| 7d 0a 0a 5c 42 66 7b 5c | 53 74 61 72 20 5c 53 74 |}..\Bf{\|Star \St|
|00000070| 61 72 5c 20 43 68 61 70 | 74 65 72 20 32 3a 20 57 |ar\ Chap|ter 2: W|
|00000080| 6f 72 6b 73 68 65 65 74 | 20 32 20 20 5c 68 66 69 |orksheet| 2  \hfi|
|00000090| 6c 6c 20 4a 61 63 6b 20 | 4b 2e 20 43 6f 68 65 6e |ll Jack |K. Cohen|
|000000a0| 20 5c 68 66 69 6c 6c 20 | 43 6f 6c 6f 72 61 64 6f | \hfill |Colorado|
|000000b0| 20 53 63 68 6f 6f 6c 20 | 6f 66 20 4d 69 6e 65 73 | School |of Mines|
|000000c0| 7d 0a 0a 5c 76 73 70 61 | 63 65 7b 31 2e 35 65 78 |}..\vspa|ce{1.5ex|
|000000d0| 7d 0a 5c 43 62 7b 4c 69 | 6d 69 74 73 7d 0a 5c 76 |}.\Cb{Li|mits}.\v|
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|000000f0| 6f 69 6e 64 65 6e 74 20 | 5c 42 66 7b 53 75 67 67 |oindent |\Bf{Sugg|
|00000100| 65 73 74 65 64 20 50 72 | 6f 62 6c 65 6d 73 7d 0a |ested Pr|oblems}.|
|00000110| 53 65 63 74 69 6f 6e 20 | 32 2e 32 3a 20 32 2c 20 |Section |2.2: 2, |
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|000001d0| 2f 2e 20 78 20 2d 3e 20 | 32 0a 66 5b 74 5d 0a 66 |/. x -> |2.f[t].f|
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|00000d80| 5c 66 72 61 63 7b 78 5e | 34 20 2d 20 31 7d 7b 78 |\frac{x^|4 - 1}{x|
|00000d90| 20 2d 20 31 7d 24 7d 20 | 62 79 20 61 74 20 6c 65 | - 1}$} |by at le|
|00000da0| 61 73 74 20 0a 74 77 6f | 20 6d 65 74 68 6f 64 73 |ast .two| methods|
|00000db0| 2e 0a 0a 5c 69 74 65 6d | 20 28 32 2e 32 2e 33 35 |...\item| (2.2.35|
|00000dc0| 29 20 45 76 61 6c 75 61 | 74 65 20 24 5c 6c 69 6d |) Evalua|te $\lim|
|00000dd0| 5f 7b 78 20 5c 72 69 67 | 68 74 61 72 72 6f 77 20 |_{x \rig|htarrow |
|00000de0| 30 7d 24 20 7b 5c 4c 61 | 72 67 65 20 24 5c 66 72 |0}$ {\La|rge $\fr|
|00000df0| 61 63 7b 31 7d 7b 78 7d | 20 5c 6c 65 66 74 28 20 |ac{1}{x}| \left( |
|00000e00| 5c 66 72 61 63 7b 31 7d | 7b 78 20 2b 20 35 7d 20 |\frac{1}|{x + 5} |
|00000e10| 2d 20 5c 66 72 61 63 7b | 31 7d 7b 35 7d 20 5c 72 |- \frac{|1}{5} \r|
|00000e20| 69 67 68 74 29 24 7d 20 | 62 79 20 6d 65 74 68 6f |ight)$} |by metho|
|00000e30| 64 20 28 63 29 20 61 6e | 64 20 61 74 20 6c 65 61 |d (c) an|d at lea|
|00000e40| 73 74 20 6f 6e 65 20 6f | 74 68 65 72 2e 0a 0a 5c |st one o|ther...\|
|00000e50| 69 74 65 6d 20 28 32 2e | 32 2e 33 36 29 20 45 76 |item (2.|2.36) Ev|
|00000e60| 61 6c 75 61 74 65 20 24 | 5c 6c 69 6d 5f 7b 78 20 |aluate $|\lim_{x |
|00000e70| 5c 72 69 67 68 74 61 72 | 72 6f 77 20 38 7d 24 20 |\rightar|row 8}$ |
|00000e80| 7b 5c 4c 61 72 67 65 20 | 24 5c 66 72 61 63 7b 78 |{\Large |$\frac{x|
|00000e90| 5e 7b 32 2f 33 7d 20 2d | 20 34 7d 7b 78 20 2d 20 |^{2/3} -| 4}{x - |
|00000ea0| 38 7d 24 7d 20 62 79 20 | 74 77 6f 0a 6d 65 74 68 |8}$} by |two.meth|
|00000eb0| 6f 64 73 2e 0a 0a 5c 65 | 6e 64 7b 65 6e 75 6d 65 |ods...\e|nd{enume|
|00000ec0| 72 61 74 65 7d 0a 5c 65 | 6e 64 7b 64 6f 63 75 6d |rate}.\e|nd{docum|
|00000ed0| 65 6e 74 7d 0a          |                         |ent}.   |        |
+--------+-------------------------+-------------------------+--------+--------+