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Handbook of mathematics for engineers and scienteists part 5

Chia sẻ: Nguyen Ngoc Phuong Thanh | Ngày: | Loại File: PDF | Số trang:7

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Handbook of mathematics for engineers and scienteists part 5

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This function is defined for all x e (-1. 1). and its range consists of all y. The arctanh x is an odd, nonperiodic. unbounded function that crosses the coordinate axes at the origin x = 0, y = 0. This is an increasing function in its domain with no points ofextremum and an inflection point at the origin. It has two vertical asymptotes: x = ±1. The graph of the function y = arctanh x is given in Fig. 2.20.

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