engineering recuitment NCRTC Station Controller Mock Test 2021 Mathematics Limit and Continuity Continuity of a function
A function f : ℝ → ℝ is defined as f(x) = x2 for x ≥ 0 and f(x) = -x for x < 0.
Consider the following statements in respect of the above function:
1. The function is continuous at x = 0.
2. The function is differentiable at x = 0.
Which of the above statements is / are correct?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2