Section 2.4 One-Sided Limits and Limits at Infinity النهايات أحادية الجانب والنهايات عند ما لا نهاية 1

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بشكل حدسي 3

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xsin(1/x) متَذَبذُبة 7

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x1/x

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A QUICK METHOD FOR FINDING LIMITS OF RATIONAL FUNCTIONS AS X→+∞ OR X→-∞ 15

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The graph appears to approach the horizontal line y = 0, as x →+∞and as x →−∞. In this case, we call y = 0 a horizontal asymptote. 17

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End of the section 19

SECTION 1.5 LIMITS INVOLVING INFINITY; ASYMPTOTES النهايات المتضمنة ما لانهاية وخطوط التقارب 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. ( نهاية سهلة معادة ) 20

xsin(1/x) xsin(1/x)

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