Let f(x) = [x] and g(x) = {{:(0",",x in ...

Let `f(x) = [x] and g(x) = {{:(0",",x in Z),(x^(2)",",x in R - Z):}`, then (where `[*]` denotes greatest integer function)

A

`lim_( x to 1) g(x) `exists but g(x) oin not continuous at x=1

B

f(x) is not continuous at x=1

C

gof is continuous for all x

D

fog is continuous for all x

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The correct Answer is:

A, B, C

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