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A function f(x) is defined in the interv...

A function f(x) is defined in the interval [1,4) as follows `f(x)={{:(,log_(e)[x],1 le x lt 3),(,|log_(e)x|,3 le x lt 4):}`. Then, the curve y=f(x)

A

is broken at two points

B

is broken at exactly one point

C

does not have a definite tangent at two points

D

does not have a definite tangent at more than two points

Text Solution

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The correct Answer is:
A, C
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