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2.6 THEOREMS OF LIMITS   Given the functions f(x), g(x), the value “a” (the one that x approaches), and its limits:   Lím f(x) = L  lím g(x) = M x  a  x  a   1. For a constant f(x) = k Lím k = k x  a   Example: Lím 3 = 3 x  2   2. For an independent variable f(x) = x Límx = a x  a   Example: lím x=3 x  3  
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By the left 4- -∞ By the right 4+ ∞ x F(x) 3 -1 3.4 -2 3.9 -10 3.99 -100 3.999 -1000 x F(x) 5 1 4.5 2 4.1 10 4.01 100 4.001 1000
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Presentacion calculo1

  • 1. 2.6 THEOREMS OF LIMITS   Given the functions f(x), g(x), the value “a” (the one that x approaches), and its limits:   Lím f(x) = L lím g(x) = M x  a x  a   1. For a constant f(x) = k Lím k = k x  a   Example: Lím 3 = 3 x  2   2. For an independent variable f(x) = x Límx = a x  a   Example: lím x=3 x  3  
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  • 13. L a “ x  a-” L a “ x  a+”
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  • 20. By the left 4- -∞ By the right 4+ ∞ x F(x) 3 -1 3.4 -2 3.9 -10 3.99 -100 3.999 -1000 x F(x) 5 1 4.5 2 4.1 10 4.01 100 4.001 1000
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