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Will you answer the questions 3,4,5, and 7. Thank you! 169 Note that the limits of the functions in the above examples can be obtained

Will you answer the questions 3,4,5, and 7.

Thank you!

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169 Note that the limits of the functions in the above examples can be obtained by straight substitution. For instance, in example 2, we see that straight substitution of x = 2 gives the desired limit. Thus in practice, the solution may simply be written as follows: lim (x+ 4) 2x+5 = (2+4) v2(2)+5 x 2 = (6) V9 = 18 EXERCISE 1.2 Evaluate each of the following: 1. lim (x2 - 4x + 3) 5. lim (2x + 3 x = 4) x -+ 2 x -+ 8 4x + 2 2. lim x + 4 6. lim (4x - 3) (x2 + 5) x -+ 3 x -* 2 V3x 3. lim (tanx + sinx) 7. lim x -3 *vx +1 sin 2X 4. lim 8. lim ~ 3x + 2 sinx x -0 x2 - 2x + 4 1.4 Indeterminate Forms Consider the function defined by f(x ) = N(x) D(X) * 0 D(X)

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