If f(x) = cos [ x ] cos ( 2 , , ( x , , - , ,1 ) ) then f(x) is c… - Vidyadip

MCQ

If $f(x) = cos \left[ {\frac{\pi }{x}} \right] cos \left( {\frac{\pi }{2}\,\,\left( {x\,\, - \,\,1} \right)} \right)$ then $f(x)$ is continuous at :

where $[x]$ is the greatest integerr function of $x$,

A
$x = 0$
B
$x = 1$
C
$x = 2$
✓
$(B)$ or $(C)$ both

✓

Answer

Correct option: D.

$(B)$ or $(C)$ both

d
Not defined at $x = 0$ ; $f(x) = cos 3$ ;

$f(2) = 0$ and both the limits exist

$\Rightarrow\,\, B$ and $C$

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