First slide

Continuity

Question

The value of $f (π)$ so that $f (x) = \frac{1 - \cos 7 (x - π)}{x - π}$ is continuous at the point $x = π$ is

Easy

A

0
B

1
C

$π$
D

$π / 2$

Solution

$f (π) = \underset{x \to π}{L t} f (x) = \underset{x \to π}{L t} \frac{1 - \cos 7 (x - π)}{x - π} = \underset{x \to π}{L t} 7 \sin 7 (x - π) = 7 \sin 0 = 0$

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