Inverse functinons

Certain combinations of the exponential functions ex and e–x arise so frequently in mathematics and its applications that they deserve to be given special names. In many ways they are analogous to the trigonometric functions, and they have the same relationship to the hyperbola that the trigonometric functions have to the circle.

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Mời các bạn tham khảo bài giảng Chapter 5: Inverse functinons – Section 5.8: Indeterminate forms and l’hospital’s rule sau đây. Bài giảng dành cho đối tượng sinh viên ngành Công nghệ thông tin. Tham khảo nội dung bài giảng để nắm bắt nội dung chi tiết.

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A matrix is a rectangular array of numbers. The numbers in the array are called the entries in the matrix. We use the capital letters to denote matrices such as A, B, C,... The size of matrix is described in terms of the number of rows and columns it contains.

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In this section, we will learn: How to obtain new functions from old functions and how to combine pairs of functions. Start with the basic functions we discussed in Section 1.2 and obtain new functions by shifting, stretching, and reflecting their graphs.

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If the sequence is convergent and exists as a real number, then the series is called convergent and we write The number s is called the sum of the series. Otherwise, the series is called divergent.

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