Let an S1 1 1 n D n . (a) Show that if 0 < a , b, then bn11 2 an11 b 2 a , sn 1 1dbn (b) Deduce that bn fsn 1 1da 2 nbg , an11 . (c) Use a 1 1 1ysn 1 1d and b 1 1 1yn in part (b) to show that han j is increasing. (d) Use a 1 and b 1 1 1ys2nd in part (b) to show that a2n , 4. (e) Use parts (c) and (d) to show that an , 4 for all n. (f) Use Theorem 12 to show that limn l ` s1 1 1ynd n exists. (The limit is e. See Equation 3.6.6.)
2/29/2016 Cognitive Task Analysis o Methods for decomposing job & task performance into discrete, measurable units with special emphasis on eliciting mental processes & knowledge content o Think-aloud protocol Approach that investigates thought processes of experts who achieve high levels of performance o Time consuming & requires a good deal of expertise to do well o Consider the following to determine whether cognitive task analysis may be worthwhile: Persistent performance problems Costly errors or accidents Training difficult to transfer to job behavior Takes a long time to achieve high levels of performance New Addition of Job Analysis Instruments o Personality-Related Position Requirements Form (PPRF) Devoted to identifying personality predictors of job performance Intended to supplement job analysis Summary of Job Analysis Process o The more information gathered from the greatest number of sources, the better the job analyst can understand the job o Most job analyses should include considerations of personality demands & work context Occupational Information Network of O*NET o Introduced by federal government to replace the Dictionary of Occupational Titles (D.O.T.) o Electronic medium, so it can be updated instantaneously as changes occur Competency Modeling o Identifies characteristics desi
