Continuity and DifferentiabilityHard
Question
Let f(x) = [x] & g(x) = 
, then (where [.] denotes greatest integer function) -
, then (where [.] denotes greatest integer function) -Options
A.
g(x) exists, but g(x) is not continuous at x = 1.
g(x) exists, but g(x) is not continuous at x = 1.B.f(x) does not exist and f(x) is not continuous at x = 1.
f(x) does not exist and f(x) is not continuous at x = 1.C.gof is continuous for all x.
D.fog is continuous for all x.