Question

If f(x) = $$\{\begin{array}{cc}x,& \text{when 0≤ x ≥ 1}\\ 2-x,& \text{2-x when 1 ≤ x ≥ 2}\end{array}$$
then $li{m}_{x\to 1}$ f(x) =

• A. 1
• B. 2
• C. 0
• D. Does not exist

Answer 1

The correct option is A

1

and $li{m}_{x\to 1+}$ f(x) = $li{m}_{h\to 0}$ 2-(1+h) = 1
Hence limit of the function is 1