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  1. Math 1101 Calculus I Practice Midterm 1 Solutions 2. Compute the following limits, if they exist. If the limit does not exist, explain why. (a) (3 points) lim x!3 x 2 x2 5x+ 6 Solution: lim x!3 x 2 x2 5x+ 6 = lim x!3 x 2 (x 2)(x 3) == limx6=3 x!3 1 (x 3) Note 1 (x 3) goes to in nity at x = 3 and thus the limit does not exist. To

  2. 201-103-RE - Calculus 1 WORKSHEET: LIMITS 1. Use the graph of the function f(x) to answer each question. Use 1, 1 or DNEwhere appropriate. (a) f(0) = (b) f(2) = (c) f(3) = (d) lim x!0 f(x) = (e) lim x!0 f(x) = (f) lim x!3+ f(x) = (g) lim x!3 f(x) = (h) lim x!1 f(x) = 2. Use the graph of the function f(x) to answer each question. Use 1, 1 or ...

  3. Unit 1 Practice Test: Limits. Date: Here’s your chance to show what you know! You’ve got all you need in your brain, so trust yourself and put your calculator away. Make sure you show me all the cool work you can do to get your answer when appropriate. 1. Find the following limits if.

  4. Evaluate this limit using the Limit Laws. Show each step. lim (1 + √3) (2 − 9 2 + 3) →. Solution: Using the Limit Laws, rewrite the limit. lim (1 + √3) (2 − 9 2 + 3) = [lim1 + lim√3] ∙ [lim2 − lim9 2 + lim 3] → →8 →8 →8 →8 →8. = [lim1 + 3 ] ∙ [lim2 − 9 (lim)2+ (lim)3] √lim. → →8 →8 →8 →8.

  5. 9 paź 2023 · Solution. Given \ [h\left ( z \right) = \left\ { {\begin {array} {rc} {6z}& {z \le - 4}\\ {1 - 9z}& {z > - 4}\end {array}} \right.\] Evaluate the following limits, if they exist. \ (\mathop {\lim }\limits_ {z \to 7} h\left ( z \right)\) \ (\mathop {\lim }\limits_ {z \to - 4} h\left ( z \right)\) Solution.

  6. 12) Give an example of a limit of a quadratic function where the limit evaluates to 9. Worksheet by Kuta Software LLC. Kuta Software - Infinite Calculus.

  7. 8. lim 12. lim 3-x +2 9. 13. lim sin ——. 6x2 +2x 3X2 10. 14. lim 5 5 (os(o) lim 2x sin x Oscillating 11. 15. lim — 5 X—.GO 0-5 +3 lim x7+2x4+2x3 lim —3x cos x Oscillating 25X +2X I ox 1.15 Limits at Infinity and Horizontal Asymptotes Calculus Ident. all horizontal a m totes of each function.

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