CHAPTER 17
Differential Calculus and Its Business Applications
17.1 INTRODUCTION
Consider the function y = f(x), then the value of y can be evaluated at different values of x. For example as the value of x approaches the value a correspondingly y may approach another value. This process is referred to as limit. The fundamental problem of the differential calculus is to find the differentiation of a function.
17.2 LIMIT OF A FUNCTION AND RULES FOR EVALUATING THE LIMIT OF A FUNCTION
The necessary and sufficient condition for f(x) tending to a limit l is that, given any least positive value ∈, one can always find a corresponding positive number δ, such that |f(x) − l| < ∈ when |x − a| < δ. It can be denoted as
To find the limit value ...
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