f-x-x-2-if-x-gt-3-3-if-x-3-x-4-if-1-x-lt-3-1-if-1-lt-x-faind-lim-x-1-f-x-and-lim-x-3-f-x-

Question Number 184239 by mathlove last updated on 04/Jan/23

f (x) = {\begin{cases} x - 2 i f x > 3 \\ 3 i f x = 3 \\ - x + 4 i f 1 ⩽ x < 3 \\ 1 i f 1 < x \end{cases}

f a i n d \lim_{x \to 1} f (x) = ? a n d \lim_{x \to 3} f (x) = ?

Answered by SEKRET last updated on 04/Jan/23

\lim_{x \to 1^{-}} f (x) = 1 \lim_{x \to 1^{+}} f (x) = 3

\lim_{x \to 3^{-}} f (x) = 1 \lim_{x \to 3^{+}} f (x) = 1

\lim_{x \to 3} f (x) = 3

Facebook Tweet Pin