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Maths-

General

Easy

Question

If $text end text f colon left square bracket negative 2 comma 2 right square bracket rightwards arrow R text is end text$ defined by $f left parenthesis x right parenthesis equals open curly brackets table row cell fraction numerator square root of 1 plus c x end root minus square root of 1 minus c x end root over denominator x end fraction comma text end text text f end text text o end text text r end text text end text minus 2 less or equal than x less than 0 end cell row cell fraction numerator x plus 3 over denominator x plus 1 end fraction comma text end text text f end text text o end text text r end text text end text 0 less or equal than x less or equal than 2 end cell end table close$ is continuous on [-2,2] then c =

3
$\frac{2}{3}$
$\frac{3}{\sqrt{2}}$
$\frac{2}{\sqrt{3}}$

The correct answer is: 3

$f left parenthesis 0 plus right parenthesis equals f left parenthesis 0 minus right parenthesis$

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