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provided this last limit exists The last limit is 1/x 1 = lim 2 x 1 2x + 1 x 1 2x + x lim Therefore we see that

byte lower = 16; byte upper = null; // Here, lower is defined, but upper isn t if(lower < upper) // false

Here, the result of the test for less than is false However, somewhat counterintuitively, so is the inverse comparison:

if(lower > upper) // also false!

Thus, when one (or both) of the nullable objects used in a comparison is null, the result of that comparison is always false; null does not participate in an ordering relationship You can test whether a nullable object contains null, however, by using the == or != operator For example, this is a valid test that will result in a true outcome:

As x 0 both numerator and denominator tend to zero, so the quotient is indeterminate at 0 of the form 0/0 Thus l'H pital's Rule applies Our limit equals

Another way to add credibility is to add examples to illustrate your points Examples are especially effective in converting general statements into understandable and practical information For instance, instead of saying We are working to care for the environment, say We are recycling plastics, glass, aluminum, and paper in our efforts to care for the environment The former sentence is general, the latter is speci c Jed, a nancial analyst, has to present a monthly report to senior executives at his automotive supply company It s tempting to make sweeping statements to summarize the nancial picture, but I ve learned that doing so only frustrates the executives and makes me look unprepared I now always include examples Jed s handout at a recent presentation included monthly data and summary statistics, plus a one-page sheet listing trends and their impact on the company One trend he noted was Worldwide rubber production increased 2 percent last month Fineguard, our major rubber supplier, expects prices to go down by 1 percent in the coming months This price reduction will impact tires, windshield wipers, and gaskets Jed added, I used to report just the facts By adding the examples of where the savings will be felt in which products, produced by which suppliers I help the executives see the strategic implications of the facts

if(upper == null) //

When a logical expression involves two bool objects, the outcome of that expression will be one of three values: true, false, or null (undefined) Here are the entries that are added to the truth table for the & and | operators that apply to bool

20:

sin x)

U n s a f e C o d e , P o i n t e r s , N u l l a b l e Ty p e s , D y n a m i c Ty p e s , a n d M i s c e l l a n e o u s To p i c s

As the comments indicate, the variable x is declared at the start of Main( ) s scope and is accessible to all subsequent code within Main( ) Within the if block, y is declared Since a block defines a scope, y is visible only to other code within its block This is why outside of its block, the line y = 100; is commented out If you remove the leading comment symbol, a compile-time error will occur because y is not visible outside of its block Within the if block, x can be used because code within a block (that is, a nested scope) has access to variables declared by an enclosing scope Within a block, variables can be declared at any point, but are valid only after they are declared Thus, if you define a variable at the start of a method, it is available to all of the code within that method Conversely, if you declare a variable at the end of a block, it is effectively useless, because no code will have access to it If a variable declaration includes an initializer, then that variable will be reinitialized each time the block in which it is declared is entered For example, consider this program: