Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Improper Integrals

Consider the improper Riemann integral \(\int_{0}^{x} y^{-1 / 2} d y\). This integral is:

1
continuous in [0, ∞)
2
continuous only in (0, ∞)
3
discontinuous in (0, ∞)
4
discontinuous only in (1/2, ∞)
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