The limit of a function is the value that the function tends to as the variable passed to that function approaches a predetermined value. The concept of a limit is taught in introductory calculus and is the basis for the two main operations performed -- differentiation and integration. Limits are important because they show the value the function tends to even if that function is undefined at that value. When dealing in limits, it is also important to remember that the value of the function at the limit is not what is being evaluated.
Instructions
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1
Evaluate the argument passed to the secant function at the limit value. For example, Lim x -> 1 Sec (Pi / x), spoken "the limit as x approaches one of the secant of Pi over x," yields Sec (pi).
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2
Evaluate the function at the determined argument value. Continuing, Sec (pi) evaluates to -1.
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3
Ensure that this value is the same when approached from either the left or right side of pi. For example, as x approaches one from values less than one and as x approaches one from values greater than one the value approached is -1.