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// Use static using System; class StaticDemo { // A static variable public static int Val = 100; // A static method public static int ValDiv2() { return Val/2; } } class SDemo { static void Main() { ConsoleWriteLine("Initial value of StaticDemoVal is " + StaticDemoVal); StaticDemoVal = 8; ConsoleWriteLine("StaticDemoVal is " + StaticDemoVal); ConsoleWriteLine("StaticDemoValDiv2(): " + StaticDemoValDiv2()); } }

The output is shown here:

fact, explored in s 5 and 6, that limh 0 (1 + h)1/ h = e, where e is Euler s number] x 2 16 = lim x 4 = 8 (h) lim x 4 x + 4 x 4 2 (a) The function is undefined at c = 2 (b) lim f (x) = 1/2 and f (1) = 1/2 so f is continuous at c = 1

Initial value of StaticDemoVal is 100 StaticDemoVal is 8 StaticDemoValDiv2(): 4

As the output shows, a static variable is initialized before any object of its class is created There are several restrictions that apply to static methods: A static method does not have a this reference This is because a static method does not execute relative to any object A static method can directly call only other static methods of its class It cannot directly call an instance method of its class The reason is that instance methods operate on specific objects, but a static method is not called on an object Thus, on what object would the instance method operate A similar restriction applies to static data A static method can directly access only other static data defined by its class It cannot operate on an instance variable of its class because there is no object to operate on For example, in the following class, the static method ValDivDenom( ) is illegal:

class StaticError { public int Denom = 3; // a normal instance variable public static int Val = 1024; // a static variable

8:

graph, then f is continuous at 0 (d) lim f (x) = 0 If we define f (0) = 0, which is plausible from the

.

/* Error! Can't directly access a non-static variable from within a static method */ static int ValDivDenom() { return Val/Denom; // won't compile! } }

Here, Denom is a normal instance variable that cannot be accessed within a static method However, the use of Val is okay since it is a static variable The same problem occurs when trying to call a non-static method from within a static method of the same class For example:

using System; class AnotherStaticError { // A non-static method void NonStaticMeth() { ConsoleWriteLine("Inside NonStaticMeth()"); } /* Error! Can't directly call a non-static method from within a static method */ static void staticMeth() { NonStaticMeth(); // won't compile } }

x 2

In this case, the attempt to call a non-static (that is, instance method) from a static method causes a compile-time error It is important to understand that a static method can call instance methods and access instance variables of its class if it does so through an object of that class It is just that it cannot use an instance variable or method without an object qualification For example, this fragment is perfectly valid:

class MyClass { // A non-static method void NonStaticMeth() { ConsoleWriteLine("Inside NonStaticMeth()"); } /* Can call a non-static method through an object reference from within a static method */ public static void staticMeth(MyClass ob) { obNonStaticMeth(); // this is OK } }

Here, NonStaticMeth( ) is called by staticMeth( ) through ob, which is an object of type MyClass Because static fields are independent of any specific object, they are useful when you need to maintain information that is applicable to an entire class Here is an example of

Part I:

[ 3/(3 + h)2 ] [ 3/32 ] h h 0 9 + (3 + h)2 2 h 0 3h(3 + h) 6h + h2 2 h 0 3h(3 + h) 6+h 2 h 0 3(3 + h) 2 9

such a situation It uses a static field to maintain a count of the number of objects that are in existence