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If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,"...

If `f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt x le 6):}` , then f(x) is

A

(a) continuous at x = 2 and discontinuous at x = 3

B

(b) continuous at x = 3 and discontinuous at x = 2

C

(c) continuous at x = 2 and x = 3

D

(d) discontinuous at x = 2 and x = 3

Text Solution

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The correct Answer is:
A
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