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Question

Let f(x) = x + 1; where xϵ[0,]. Choose the right option.


A

f(x) is continuous at

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B

f(x) is discontinuous at

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C

f(x) is discontinuous at but removable

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D

None of these

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Solution

The correct option is A

f(x) is continuous at


Here the function is defined in the domain [0,). i.e., if we are checking for discontinuity at the point x=0, there is no need to find the left hand limit of x=0, this is because the function is not defined at all to the left of x=0.

So in this case f(x) is continuous at x=0,

=f(0)

i.e., =f(0)

=0+1

L=1

function is continuous at x=0


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