Mathematics · Continuity and Differentiability
Let [t] denote the greatest integer less than or equal to t. If limx→0 x[4/x] = A, then the function f(x) = [x2] sin(πx) is discontinuous when x is equal to:
- 1√A
- 2√(A + 21)
- 3√(A + 5)
- 4√(A + 1)✓
Correct answer
√(A + 1)
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