CS GATE 2015 - Online Test
Q1. Let f(x) = x-(1/3) and A denote the area of the region bounded by f(x) and the X-axis, when x
varies from – 1 to 1. Which of the following statements is/are TRUE?
(I) f iscontinuous in [-1,1]
(II) f isnot bounded in [-1,1]
(III) A is nonzero and finite
Answer : Option C
Explaination / Solution:
Since
f(0) ® ¥
f is not bounced in [-1,1] and hence f is not continuous in [-1,1]
Statement II & III are true
