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f is a continous function in [a, b]; g i...

f is a continous function in `[a, b]`; g is a continuous function in [b,c]. A function h(x) is defined as `h(x)=f(x)` for x in `[a,b) , g(x)` for x in `(b,c]` if f(b) =g(b) then (A) h(x) has a removable discontinuity at x = b. (B) h(x) may or may not be continuous in [a, c] (C) h(b-) = g(b+ ) and h(b+ ) = f(b- ) (D) h(b+ ) = g(b- ) and h(b- ) = f(b+ )

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