Explain what is meant by the equation lim x → 2 f(x) = 3. The values of f(x) can be made as close to 2 as we like by taking x sufficiently close to 3. The values of f(x) can be made as close to 3 as we like by taking x sufficiently close to 2. f(x) = 3 for all values of x. If |x1 − 2| < |x2 − 2|, then |f(x1) − 3|≤ |f(x2) − 3|. If |x1 − 2| < |x2 − 2|, then |f(x1) − 3| < |f(x2) − 3|. Is it possible for this statement to be true and yet f(2) = 4? Explain. Yes, the graph could have a hole at (2, 3) and be defined such that f(2) = 4. Yes, the graph could have a vertical asymptote at x = 2 and be defined such that f(2) = 4. No, if f(2) = 4, then lim x→2 f(x) = 4. No, if lim x→2 f(x) = 3, then f(2) = 3.

Aresearch study is studying the effects of a new drug for osteoporosis alzheimer's disease (ad) for women above the age of 65 years. a group of individuals with osteoporosis is randomized into two groups. one group is treated conventionally, and the second group is treated with the new medication. assessments are made at 3, 6, 12, 36, and 48 months. the conventionally treated group is assessed for ad using a serum blood test, and the treatment group is assessed for ad using a pet radiotracer that binds to beta-amyloid plaques. in comparing these 2 trial arms, the authors of the study may encounter which type of bias? a. selection bias on the risk of developing b. measurement bias c. confounding bias d. recall bias e. lead-time bias