PRECALCULUS | LIMITS & CONTINUITY] INTRO TO LIMITS The graph of g(x) is given to the left. Use the graph to answer each of the following questions. If the limit does not exist, write DNE and explain/justify your reasoning. N 2 3 4 5 6 7 8 9 10 11 2 13 14 FOREST TRAIL ACADEMY | WWW.FO PRECALCULUS | LIMITS & CONTINUITY| INTRO TO LIMITS Create a table to evaluate each of the following limits. If the limit does not exist, write DNE and explain/justify. 14. x2 - 4 15. 2x2 - 5x - 3 lim x4-2 x+2 lim - = X-3 x - 3 x f(x) f(x) FOREST TRAIL ACADEMY | WWW.FORESTTRAILACADEMY.COM Page 3 / 4 +18:40 AA docs.google.com PRECALCULUS | LIMITS & CONTINUITY| INTRO TO LIMITS Click the video above and then click play. Click the video above and then click play. Look at the image above. 1. What y-value is the dot getting closer to as x 2. What y-value is the dot getting closer to as x 3. What is the actual value of y when x = 1? approaches 1 from the LEFT side? approaches 1 from the RIGHT side? Click to select the correct notation and drag it into Click to select the correct notation and drag it into the Click to select the correct notation and drag it the gray box below. gray box below. into the gray box below. lim f (x) = 3 f (1) =0.5 lim f (x) =2 PRECALCULUS | LIMITS & CONTINUITY] INTRO TO LIMITS Click the video at left and then click play 4a. What y-value is the dot getting closer to as x approaches 2 from either side? 4b. Click to select the correct limit notation and drag it into the gray box below. (2, 3) . lim f (x) = 2 lim f(z) = 3 lim f (x) =1 lim f(x) = 2 5. What is the value of f(2)? How does this limit differ from f(2)? Explain. FOREST TRAIL ACADEMY | WWW.FORESTTRAILACADEMY.COM