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X + 3x - 18 X- + 3x - 18 Explain why lim = lim (x + 6), and then evaluate lim x-3 x -

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X + 3x - 18 X- + 3x - 18 Explain why lim = lim (x + 6), and then evaluate lim x-3 x - 3 X-3 X-3 X -3 Choose the correct answer below. O A. x- +3x- 18 The numerator of the expression X - 3 simplifies to x + 6 for all x, so the limits are equal. O B. x2 + 3x -18 The limits lim and lim (x +6) equal the same number when evaluated using direct substitution. X-+ 3 X - 3 X-+ 3 O C. Since each limit approaches 3, it follows that the limits are equal. O D. x2 + 3x- 18 Since = x + 6 whenever x # 3, it follows that the two expressions evaluate to the same number as x approaches 3. X - 3 Now evaluate the limit. X + 3x - 18 lim (Simplify your answer.) X-+3 X - 3

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