Evaluating Limits Algebraically Pdf

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  1. Evaluating Limits Algebraically Worksheet Pdf
  2. Evaluating Limits Algebraically Kuta
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Evaluating Limits Algebraically Worksheet Pdf

Evaluating

See if the one-sided limits are the same. If direct substitution gives 0 N where N ≠0, then the limit DNE (ex. E above) If direct substitution gives 0 N where N ≠0, then the limit = 0 4. If direct substitution gives 0 0 then try appropriate algebraic “tricks:” a. Factoring and reducing (ex a, e above) b. Evaluating*Limits*Worksheet* * Evaluate*the*following*limits*without*using*a*calculator.* 1) lim x→3 2x2−5x−3 x−3 2) lim x→2 x4−16 x−2 3) lim x→−1 x4+3x3−x2+x+4 x+1 4) lim x→0 x+4−2 x * * * * * * * * * 5) lim x→3 x+6−x x−3.

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Evaluating Limits Algebraically Kuta

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Section 2-5 : Computing Limits

Evaluating limits algebraically pdf

For problems 1 – 9 evaluate the limit, if it exists.

  1. (mathop {lim }limits_{x to 2} left( {8 - 3x + 12{x^2}} right)) Solution
  2. (displaystyle mathop {lim }limits_{t to , - 3} frac{{6 + 4t}}{{{t^2} + 1}}) Solution
  3. (displaystyle mathop {lim }limits_{x to , - 5} frac{{{x^2} - 25}}{{{x^2} + 2x - 15}}) Solution
  4. (displaystyle mathop {lim }limits_{z to 8} frac{{2{z^2} - 17z + 8}}{{8 - z}}) Solution
  5. (displaystyle mathop {lim }limits_{y to 7} frac{{{y^2} - 4y - 21}}{{3{y^2} - 17y - 28}}) Solution
  6. (displaystyle mathop {lim }limits_{h to 0} frac{{{{left( {6 + h} right)}^2} - 36}}{h}) Solution
  7. (displaystyle mathop {lim }limits_{z to 4} frac{{sqrt z - 2}}{{z - 4}}) Solution
  8. (displaystyle mathop {lim }limits_{x to , - 3} frac{{sqrt {2x + 22} - 4}}{{x + 3}}) Solution
  9. (displaystyle mathop {lim }limits_{x to 0} frac{x}{{3 - sqrt {x + 9} }}) Solution
  10. Given the function [fleft( x right) = left{ {begin{array}{rc}{7 - 4x}&{x < 1}{{x^2} + 2}&{x ge 1}end{array}} right.]

    Evaluate the following limits, if they exist.

    1. (mathop {lim }limits_{x to , - 6} fleft( x right))
    2. (mathop {lim }limits_{x to 1} fleft( x right))
    Solution
  11. Given [hleft( z right) = left{ {begin{array}{rc}{6z}&{z le - 4}{1 - 9z}&{z > - 4}end{array}} right.]

    Evaluate the following limits, if they exist.

    1. (mathop {lim }limits_{z to 7} hleft( z right))
    2. (mathop {lim }limits_{z to - 4} hleft( z right))
    Solution

For problems 12 & 13 evaluate the limit, if it exists.

Evaluating Limits Algebraically Pdf Download

  1. (mathop {lim }limits_{x to 5} left( {10 + left| {x - 5} right|} right)) Solution
  2. (displaystyle mathop {lim }limits_{t to , - 1} frac{{t + 1}}{{left| {t + 1} right|}}) Solution
  3. Given that (7x le fleft( x right) le 3{x^2} + 2) for all x determine the value of (mathop {lim }limits_{x to 2} fleft( x right)). Solution
  4. Use the Squeeze Theorem to determine the value of (displaystyle mathop {lim }limits_{x to 0} {x^4}sin left( {frac{pi }{x}} right)). Solution