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first call to FactR( ) will cause a second call to be made with an argument of 1 This call will return 1, which is then multiplied by 2 (the original value of n) The answer is then 2 You might find it interesting to insert WriteLine( ) statements into FactR( ) that show the level of recursion of each call and what the intermediate results are When a method calls itself, new local variables and parameters are allocated storage on the stack, and the method code is executed with these new variables from the start A recursive call does not make a new copy of the method Only the arguments are new As each recursive call returns, the old local variables and parameters are removed from the stack, and execution resumes at the point of the call inside the method Recursive methods could be said to telescope out and back Here is another example of recursion The DisplayRev( ) method uses recursion to display its string argument backward

In order to assess the appropriate level of formality for Brad s report, you need to consider his position within the company and his feelings about his selection of Georgia as the recommended factory site Brad has worked for his company in positions of increasing responsibility for six years He is pleased with his work on this project and con dent of his recommendation he thinks the data supports the choice of Georgia Furthermore, Brad believes that if the committee accepts his recommendation, it will be a good decision for the corporation now and into the future He is aware, however, that several committee members prefer Jacksonville because they re loyal to their home state Jacksonville isn t a bad choice, he explains It s just not the best choice And it s my job to make that point inarguable EXERCISE 27: Use the Formality Index With that background, put yourself in Brad s shoes and consider the proper level of formality by answering the three questions discussed in the model (see page 12) What score do you come up with Brad explained, This exercise was interesting to me I was certain that my score would indicate that the report should be quite formal, but what I came to realize is that I m quite formal, so my inclination is that formal is always the best approach Actually, when I calculated the score, I realized that I was wrong I d been looking at the situation only through my own perspective The facts support a less formal approach Speci cally, I know the committee members well and personally We re not best friends, but we have mutual respect for one another, and we ve all worked together for years, so I scored the rst question about how well I know them a 4 I m below them all in rank, but I m pretty senior within the company, so I scored the second question a 25 I am absolutely.

// Display a string in reverse by using recursion using System; class RevStr { // Display a string backward public void DisplayRev(string str) { if(strLength > 0) DisplayRev(strSubstring(1, strLength-1)); else return; ConsoleWrite(str[0]); } } class RevStrDemo { static void Main() { string s = "this is a test"; RevStr rsOb = new RevStr(); ConsoleWriteLine("Original string: " + s); ConsoleWrite("Reversed string: "); rsObDisplayRev(s); ConsoleWriteLine(); } }

Here is the output:

1 1 = 1 [Here we use the non-trivial fact, explored in 5, that limh 0 (sin h/ h) = 1] x (d) lim x ln x = lim ln x x lim ln x = ln 1 = 0 [Here we use

Each time DisplayRev( ) is called, it first checks to see if str has a length greater than zero If it does, it recursively calls DisplayRev( ) with a new string that consists of str minus its first character This process repeats until a zero-length string is passed This causes the recursive

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