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Maths-

General

Easy

Question

If $f left parenthesis x right parenthesis equals open curly brackets table row cell fraction numerator x to the power of 2 end exponent over denominator 2 end fraction comma text end text text i end text text f end text text end text 0 less or equal than x less than 1 end cell row cell 2 x to the power of 2 end exponent minus 2 x plus fraction numerator 3 over denominator 2 end fraction comma blank text end text text i end text text f end text text end text 1 less or equal than x less or equal than 2 end cell end table close$ then $text end text stack l i m with x rightwards arrow 1 below f left parenthesis x right parenthesis equals$

$\frac{1}{2}$
$\frac{3}{2}$
does not exist
$- \frac{1}{2}$

The correct answer is: does not exist

$stack l i m with x rightwards arrow 1 to the power of minus end exponent below f left parenthesis x right parenthesis not equal to stack l i m with x rightwards arrow 1 to the power of plus end exponent below f left parenthesis x right parenthesis$

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