First slide

Continuity

Question

$f (x) = | ⌈ x] x | in - 1 \leq x \leq 2 is$

Moderate

A

continuous at x = 0
B

discontinuous at x = 0
C

differentiable at x = 0
D

continuous at x = 2

Solution

$\begin{array}{l} \lim_{x \to 0^{-}} f (x) \lim_{x \to 0^{+}} f (x) = 0 = f (0) \\ ∴ f is continuous at x = 0. \end{array}$

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