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If lim x→a f(x) = lim x→a [f(x)] (where[.] denotes the greatest integral function) and f(x) is non constant continous function, then show that lim x→a f(x) is integer

 If lim x→a f(x) = lim x→a [f(x)]   (where[.] denotes the greatest integral function)  and f(x) is non constant continous function, then show that  lim x→a f(x) is integer

Grade:12

1 Answers

bibhash jha
15 Points
12 years ago

 

lim x->0 f(x) = lim x->0 [ f(x)]

                  =[ lim x->0 f(x)] = an integer


=> lim x->0 f(x) =an integer

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