By

3.1 pp.157

Complete the table of values and use the results to find the indicated limits.

13. If k= (x^3-2x-4)/(x-2), find lim k(x)

x->2

Table:

x 1.9 1.99 1.999 2.001 2.01 2.1

k(x)

15. If h(x)= [Áïx)-2]/(x-1), find lim h(x)

x->1

Table:

x .9 .99 .999 1.001 1.01 1.1

h(x)

By

Just substitute the given numbers (one at the time) in the formula for k(x); somewhat tedious computation; computer helps here; here is what I get for k(x):

9.41, 9.9401, 9.994, 10.006, 10.0601, 10.61,

so that, you should conclude that the limit "should be" 10.

Similar, and similarly painful is question 15.