General Math (I) Sheet (7) PDF
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This document presents questions on the continuity of functions in general mathematics. The problems involve various types of functions and require determining the conditions for continuity. It also includes exercises on finding values in functions for a continuous situation.
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General Math (I) Sheet (7) 1. Discuss the Continuity of the Following Functions for All Values of x x2 − 1 1 (1) f ( x) = (2) f ( x) = x +1...
General Math (I) Sheet (7) 1. Discuss the Continuity of the Following Functions for All Values of x x2 − 1 1 (1) f ( x) = (2) f ( x) = x +1 x −1 1 x2 − 9 (3) f ( x) = (4) f ( x) = (x − 1)2 x+3 x − 3 x2 x 2 + 4 x 1 (5) f ( x) = (6) f ( x) = 4 x − 7 x2 5 x =1 2. Discuss the Continuity of the Following Function for All Values of x e − x x0 f ( x) = 1 0 x 2 cos x x 2 3. Find the Values of a Which Makes the Following Function is Continuous x + 1 x 1 f ( x) = 3 − ax x 1 2 Mathematics Department Dr/ Soaad Abd El-Badie General Math (I)
