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L e tf(x)={((x-1)(6x-1))/(2x-1),ifx!=1/2...

`L e tf(x)={((x-1)(6x-1))/(2x-1),ifx!=1/2 0,ifx=1/2` Then at `x=1/2,` which of the following is/are not true? `f` has a local maxima `f` has a local minima `f` has an inflection point. `f` has a removable discontinuity.

A

f has a local maxima

B

f has a local minima

C

f has an inflection point

D

f has a removable dicontinuity

Text Solution

Verified by Experts

The correct Answer is:
1,2,4
f(x)=`(12x^(2)-12x+5)/(2x-1)^(2)gt0 forall x in R`

Hence f is increasing `forall x in R`
`x=1//2` is the point of inflection as concavity changes at `x =1//2`
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