NIMCET 2020 Question Paper with solutions

Question : 47 of 120

Marks: +1, -0

Test the continuity of the function at x = 2

f(x)=\{\table 5/2-x,x<2;1,x=2;;x-3/2,x>3

Solution:

RHL

5/2-2=1/2(\when x > 2)

LHL

2-3/2=1/2(\when x < 2)

LHL= RHL ≠ F(2)
At x = 2;f(2) = 1
f(x) is discontinuous at x = 2

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