Teaching UP B.Ed (Paper 1 & 2) Mock Test 2025 Mathematics Limit and Continuity Continuity of a function
Consider the following statements in respect of the function \(\rm f(x) = sin \left(\frac{1}{x^2}\right)\), x ≠ 0:
1. It is continuous at x = 0, if f(0) = 0.
2. It is continuous at \(x = \frac{2}{\sqrt{\pi}}\).
Which of the above statements is/are correct?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2