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

Question

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

bibhash jha · Answer

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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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

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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

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

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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