Complete the table by computing f(x) at the given values of x. (Round your answers to three decimal places.)

Question

Complete the table by computing f(x) at the given values of x. (Round your answers to three decimal places.)

f(x) = |x − 6|

x − 6

 

(x)= 5.9 5.99 5.999 6.001 6.01 6.1

f(x)= ?

Use these results to estimate the indicated limit (if it exists). (If an answer does not exist, enter DNE.)

lim x → 6 f(x)

Answer 1

(x)= 5.9 | 5.99 | 5.999 | 6.001 | 6.01 | 6.1

f(x)= 0.100 | 0.010 | 0.001 | 0.001 | 0.010 | 0.100

x-6= -0.100 | -0.010 | -0.001 | +0.001 | +0.010 | +0.100

lim (x -> 6) f(x) = 0.