if-f-x-x-2-and-A-lim-x-0-f-x-f-x-and-B-f-x-f-x-when-x-0-find-A-and-B-

Question Number 85868 by M±th+et£s last updated on 25/Mar/20

i f f (x) = ⌊ x^{2} ⌋

a n d A = \underset{x \to 0}{l i m} (f (x) - f (- x))

a n d B = f (x) + f (- x) w h e n x = 0

f i n d A a n d B

Commented by mr W last updated on 25/Mar/20

A = 0 - 0 = 0

B = 0 + 0 = 0

Commented by M±th+et£s last updated on 25/Mar/20

t h a n k y o u s i r s i r b u t w h y \underset{x \to 0}{l i m} (f (x) - f (- x)) = 0

Commented by M±th+et£s last updated on 25/Mar/20

s o r r y i m e a n f (x) + f (- x)

Commented by M±th+et£s last updated on 25/Mar/20

⌊ x ⌋ + ⌊ - x ⌋ = {\begin{cases} 0 x \in z \\ - 1 x \notin z \end{cases}

\underset{x \to 0^{+}}{l i m} (- 1) = - 1

\underset{x \to 0^{-}}{l i m} (- 1) = - 1

s o \underset{x \to 0}{l i m f} (x) + f (- x) = - 1

Commented by mr W last updated on 25/Mar/20

b u t h e r e f (x) = ⌊ x^{2} ⌋ a s y o u g a v e .

Commented by M±th+et£s last updated on 25/Mar/20

y o u a r e r i g h t s i r i a m s o s o r r y i t w a s a t y p o