First slide

Continuity

Question

$f (x) = x [3 - \log (\frac{\sin x}{x})] - 2 to be continuous at x = 0 then f (0) =$

Moderate

A

0
B

2
C

-2
D

3

Solution

$\underset{x \to 0}{L t} f (x) = \underset{x \to 0}{L t} [3 x - x \log (\frac{\sin x}{x}) - 2] = - 2 = f (0)$
$∴ f (0) = - 2$

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