f-x-1-x-2-x-if-x-0-2-if-x-0-study-the-continuty-of-f-in-0-

Question Number 203291 by zahaku last updated on 14/Jan/24

You can't use 'macro parameter character #' in math mode

2 i f x = 0

s t u d y t h e c o n t i n u t y o f f i n 0

Answered by esmaeil last updated on 15/Jan/24

f (x) = {\begin{cases} 1 + \frac{∣ x ∣}{x} i f x \neq 0 \\ 2 i f x = 0 \end{cases}

\lim_{x \to 0^{+}} f (x) = 1 + 1 = 2 = f (0)

\lim_{x \to 0^{-}} f (x) = 1 - 1 = 0 \neq f (0)

\to n o t c o n t i n u t y

Facebook Tweet Pin