How do you evaluate this problem using Improper Integral techniques AND honoring the warnings (where relevant)?

10.4 Two Warnings (ignored by almost all students (but not by you)!) Examples (first done wrong in each case, then redone correctly): 1. Be sure that, when computing a limit, the limit operation is indicated by lima Y 00 (or whatever limit is appropriate) until the numerical value of the limit is actually produced. dx dx hm (a) (b) 1 1 dx = 2v'lt1 = 2v/f 2. dx 1 dx lim 2 x 1 i dx lim lim 2N,/Q tl 2. Be careful with 00! co I (a) i dx lim (b) dx lim 2 1 lim lim (2v/i 24/ t) 22v/ 1 1. 1 1 1. x Version (a) is completely illegal (despite the fact that 1 is the correct answer!). The object 00 isn't a number and it can't be plugged into algebraic expressions as if it were a number. The correct way to compute the value of the improper integral is as a limit as explained above. Do not treat 00 as if it were a number.