Question

show that the function f (x) = | x-1 | + cos (x) -3 is continuous for x ε R

Answer 1

Break the function into three parts and show that each part is continuous for all x in R.

Answer 2

how do I show one of the part is continuous for all x in R

Answer 3

i guess it helps to know that

\[\cos(x)\] is continuous as is
\[|x-1|\]