is-lim-x-a-f-x-lim-x-a-f-x-

Question Number 89576 by M±th+et£s last updated on 18/Apr/20

i s \underset{x \to a}{l i m} ⌊ f (x) ⌋ = ⌊ \underset{x \to a}{l i m} f (x) ⌋

Commented by mr W last updated on 18/Apr/20

i t h i n k n o .

e x a m p l e f (x) = \frac{\sin x}{x}

\lim_{x \to 0} ⌊ f (x) ⌋ = 0, s i n c e 0 < \frac{\sin x}{x} < 1 \Rightarrow ⌊ \frac{\sin x}{x} ⌋ = 0

⌊ \lim_{x \to 0} f (x) ⌋ = 1, s i n c e \lim_{x \to 0} (\frac{\sin x}{x}) = 1

Commented by M±th+et£s last updated on 18/Apr/20

y e s s i r i t w a s t y p o a n d t h a n k y o u

Commented by mr W last updated on 18/Apr/20

n i c e t o s e e t h a t y o u c a n e d i t y o u r p o s t .

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