Problem

Problem

If lim⁡x→af(x)=lim⁡x→a[f(x)]\lim_{x \to a} f(x) = \lim_{x \to a} [f(x)] (where [⋅][\cdot] denotes the greatest integer function) and f(x)f(x) is non-constant continuous function, then a. lim⁡x→af(x)\lim_{x \to a} f(x) is an integer b. lim⁡x→af(x)\lim_{x \to a} f(x) is non-integer c. f(x)f(x) has local maximum at x=ax = a d. f(x)f(x) has local minimum at x=ax = a

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