Determine whether the following statements are true and give an explanation or counterexample.

a. The rational function has vertical asymptotes at x = -1 and x = 1.

b. Numerical or graphical methods always produce good estimates of

c. The value of if it exists, is found by calculating f (a).

d. Ifdoes not exist.

e. If does not exist, then eitheror

f. The line y = 2x + 1 is a slant asymptote of the function

g. If a function is continuous on the intervals (a, b) and (b, c), where a < b < c, then the function is also continuous on (a, c).

h. Ifcan be calculated by direct substitution, then f is continuous at x = a.

Transcribed Image Text:

х — 1 .2 – 1 lim f(x).