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Question

Let a,bϵR,(a0). If the function f defined as ⎪ ⎪ ⎪ ⎪ ⎪ ⎪⎪ ⎪ ⎪ ⎪ ⎪ ⎪2x2a,0x<1a,1x<22b24bx3,2x< is continuous in the interval [0,), then an ordered pair (a,b) is:

A
(2,13)
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B
(2,1+3)
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C
(2,13)
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D
(2,1+3)
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