[PDF] Section 21: Limits Algebraically - Kent State University



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Section 21: Limits Algebraically - Kent State University

Section 2 1: Limits Algebraically Recall A function f is continuous at x = a provided the graph of y = f(x) does not have any holes, jumps, or breaks at x = a (That is, the function is connected at x = a ) If f is continuous at x = a, then lim xa f(x) = f(a): That is, the value of the limit equals the value of the function Result



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Special Limits e the natural base I the number e is the natural base in calculus Many expressions in calculus are simpler in base e than in other bases like base 2 or base 10 I e = 2:71828182845904509080 I e is a number between 2 and 3 A little closer to 3 I e is easy to remember to 9 decimal places because 1828 repeats twice: e = 2:718281828

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