GATE | GATE-CS-2015 (Set 2) | Question 36

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?

1. f is continuous in [–1, 1]
2. f is not bounded in [–1, 1]
3. A is nonzero and finite

(A)

2 only

(B)

3 only

(C)

2 and 3 only

(D)

1, 2 and 3

Answer

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