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Let f(x)={|x-2|+a^2-6a+9, x < 2 and 5-2x...

Let `f(x)={|x-2|+a^2-6a+9, x < 2 and 5-2x, x >= 2` If `lim_(x->2) [f(x)]` exists the possible values a can take is/are (where [.] represents the grestest integer function)

A

2

B

`5/2`

C

3

D

`7/2`

Text Solution

Verified by Experts

The correct Answer is:
B
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