Concept explainers
Determining limits analytically Determine the following limits.
25. a.
b.
c.
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
- Assessment 1. Directions: Find the limit of the following. 1. lim(x² + 2x – 1) X-2 2. lim (x³ + 8) x--2arrow_forwardUse the graph of y = (x) in the figure below to find the functional values and limits, if they exist. (If an answer does not exist, enter DNE.) y 아 4 2 -4 -2 4 -2 (a) f(1) (b) lim f(x) X+1arrow_forwardEvaluating the following limits: Vx+5-V5 а. lim 2x x+1 3 b. lim х-2 х-2 c. lim 3x cot(2x) x-0 2x2-5x-3 d. lim x-3 X-3arrow_forward
- For what value of b does the limit b exist? What is the value of the limit? b b b b = = = = lim x →→2 = 6x³ + 5x² 4 and the limit value is +5x² − 12x + b 2 x² + x -2 and the limit value is 4 and the limit value is -16. 40 3 -4 and the limit value is 40 3 -4 and the limit value is -16. 40 3arrow_forwardf(2 + h) – f(2) 2 if f(x) = x² +7. Find lim h h→0 f(2 + h) – f(2) lim (Simplify your answer.) h→0arrow_forwardFind the Limit: 1. lim (2x + 5) --7 3. lim (-x + 5x 2) 5. lim 8(t - 5)(t 7) x + 3 7. lim r2 X +6 y2 9. lim ん y -5 5- yarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage