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If f(x) {{:(x^(2) -3",", "when " 2 lt x ...

If `f(x) {{:(x^(2) -3",", "when " 2 lt x lt 3),(2x+5"," ,"when" 3 lt x lt 4):}`then the equation whose roots are `lim_(xto3-) f(x) and lim _(x to 3+) f(x)` is-

A

`x^(2) -7x+3=0`

B

`x^(2) -20x+66=0`

C

`x ^(2) -17 x+66=0`

D

`x^(2) -18x +60=0`

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The correct Answer is:
C
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