GATE Computer Science (CS) 2013 Solved Paper

Question : 32 of 65

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Which one of the following functions is continuous at x = 3?

$f (x) {\{\table 2,\:\:\:\:if\:\:\:x = 3 ; x−1,\:\:\:\:if\:\:\:x > 3 ; \;{x\;+\;3}/{3},\:\:\:\:if\:\:\:\:x < 3 ; }.$
$f (x) = {\{\table 4,\:\:\:\:if\:\:\:x = 3 ; 8−x\:\:\:if\:\:\:x ≠ 3 ; }.$
~~$f (x) = {\{\table x + 3,\:\:\:\:if\:\:\:x ≤ 3 ; x−4\:\:\:\:if\:\:\:x > 3 ; }.$~~
$f (x) = \;{1}/{x^{3}−27}\:if\:x ≠ 3$

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