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A. Evaluate the following limits. 1. lim (2x + 1) 2. lim (2x - 3) x-2 x- 2 3. lim (2x - 6) 4. lim (x - 2) x-4 x--3 5. lim (x - 2) 6. lim (x + 3) X-7 X--4 7. lim (x - 1) 8. lim (x +5) x-1 x-4 a 2 - 9 9. lim x2- 4 10. lim x-3 x - 3 x-2 x- 2The graph is shown below. bobcols day bluode astley sear nospanos sill { of Drob Bag and bailquizads i o 2 6091 151 24-3-2-1 X 1 2 mot In table 1, as the value of x that is less than 1 gets closer and closer to 1, the value of f (x) gets closer and closer to 5. In table 2, as the value of x that is greater than 1 gets closer and closer to 1, the value of f (x) gets closer and closer to 5. Hence, lim (x + 4) = 5.EXAMPLE 3 Find lim ( x + 4). x-1 4) to atrail orderh zange SO UTION Construct the tables of values. Table 1 -2 0 0.1 0.3 0.5 0.7 0.9 0.99 X 0.999 f (x) 2 4 4.1 4.3 4.5 4.7 4.9 4.99 4.999 Tolda Table 2 3 2 1.9 1.7 1.5 1.3 1.1 1.01 1.001 f ( x ) 7 6 5.9 5.7 5.5 5.3 5.1 5.01 5.001