Properties1.par Section 1.3 Continuous_Functions.pdf Page 12 of 15 94 CONTEMPORARY CALCULUS 3. Find at least one...
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Properties1.par Section 1.3 Continuous_Functions.pdf Page 12 of 15 94 CONTEMPORARY CALCULUS 3. Find at least one point at which each function is not continuous and state which of the three con- ditions in the definition of continuity is violated at that point. 6. x+5 x (a) (e) x-3 sin(x) (a (E x+x-6 (b) (f) x-2 | (c) cos(x) (g) In(x) ( (d) [x2] (h) x-6x+9 (i) tan(x) 4. Which three of the following functions are not continuous? Use appropriate theorems from this section to justify that each of the other functions is continuous. 7 (f) [0.3 sin(x) +1.5] (a) 2+ sin(x) (g) cos (sin(x)) 7. (E Properties1.par Section 1.3 Continuous_Functions.pdf Page 12 of 15 94 CONTEMPORARY CALCULUS 3. Find at least one point at which each function is not continuous and state which of the three con- ditions in the definition of continuity is violated at that point. 6. x+5 x (a) (e) x-3 sin(x) (a (E x+x-6 (b) (f) x-2 | (c) cos(x) (g) In(x) ( (d) [x2] (h) x-6x+9 (i) tan(x) 4. Which three of the following functions are not continuous? Use appropriate theorems from this section to justify that each of the other functions is continuous. 7 (f) [0.3 sin(x) +1.5] (a) 2+ sin(x) (g) cos (sin(x)) 7. (E
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