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This section discusses the concept of one-sided limits and limits at infinity in rational functions. It provides a quick method to find limits as x approaches positive or negative infinity. It also explains the notion of horizontal and vertical asymptotes.
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Section 2.4 One-Sided Limits and Limits at Infinity النهايات أحادية الجانب والنهايات عند ما لا نهاية
A QUICK METHOD FOR FINDING LIMITS OF RATIONAL FUNCTIONS AS X→+∞ OR X→-∞
The graph appears to approach the horizontal line y = 0, as x →+∞and as x →−∞. In this case, we call y = 0 ahorizontal asymptote.
النهايات المتضمنة ما لانهاية وخطوط التقارب SECTION 1.5 LIMITS INVOLVING INFINITY; ASYMPTOTES (نهاية سهلة معادة) When this occurs, we say that the line x = 0 is a vertical asymptote. we say that the line x = 5 is a vertical asymptote. we say that the line x = -2 and x=3 are vertical asymptotes.