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The Idea of Limits x1.91.991.9991.999922.00012.0012.012.1 f(x)f(x)

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Presentation on theme: "The Idea of Limits x1.91.991.9991.999922.00012.0012.012.1 f(x)f(x)"— Presentation transcript:

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3 The Idea of Limits x1.91.991.9991.999922.00012.0012.012.1 f(x)f(x)

4 The Idea of Limits x1.91.991.9991.999922.00012.0012.012.1 f(x)f(x)3.93.993.9993.9999un- defined 4.00014.0014.014.1

5 The Idea of Limits x1.91.991.9991.999922.00012.0012.012.1 g(x)g(x)3.93.993.9993.999944.00014.0014.014.1 x y O 2

6 approaches to, but not equal to

7 The Idea of Limits x-4-3-201234 g(x)g(x)

8 The Idea of Limits x-4-3-201234 h(x)h(x) un- defined 1234

9 does not exist.

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16 Limits at Infinity Consider

17 Generalized, if then

18 Theorems of Limits at Infinity

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22 Contoh - contoh

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25 The Slope of the Tangent to a Curve

26 The slope of the tangent to a curve y = f(x) with respect to x is defined as provided that the limit exists.

27 The increment △ x of a variable is the change in x from a fixed value x = x 0 to another value x = x 1.

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29 (A) Definition of Derivative. The derivative of a function y = f(x) with respect to x is defined as provided that the limit exists.

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34 Contoh Soal

35 Rumus-Rumus Diferensial

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37 Contoh - contoh

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41 Soal Latihan

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