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Unformatted text preview: = =→ → → → θ Example 8 Example: Given 3x < f(x) < x 3 + 2 for 0< x< 2, find lim x 1 f(x) We must use the Squeeze Theorem. 9 Squeeze Theorem If L (x) < f(x) < U (x) when x is near “c” except possibly at “c” and lim x c L (x) = lim x c U (x) = N then lim x c f(x) = N. 10 Example: Given 3x < f(x) < x 3 + 2 for 0< x< 2, find lim x 1 f(x) lim x 1 3x = 3 lim x 1 x 3 + 2 = 3 therefore, lim x 1 f(x) = 3 by the Squeeze Theorem 11 ) sin( lim : x x e x Example π + →...
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This note was uploaded on 09/28/2009 for the course MATH 1550 taught by Professor Wei during the Spring '08 term at LSU.
 Spring '08
 Wei
 Calculus, Squeeze Theorem, Limits

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