Evaluate x- 0 lim fx- where fx- -x- - x- 0 0- x-0 x

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Algebra of Limits

Evaluate x→...

Question

Evaluate $l i m x \to 0 f (x)$ , where $f (x) = {| x |, x \neq 0 x 0, x = 0$

Open in App

Solution

Suggest Corrections

Similar questions

\lim_{x \to 0} f (x)

f (x) = \{\begin{cases} \frac{|x|}{x}, & x \neq 0 \\ 0, & x = 0 \end{cases}

lim x \to 0 f (x),

f (x) = ⎧ ⎨ ⎩ \begin{matrix} \frac{| x |}{x}, & x \neq 0 0, & x = 0 \end{matrix}

l i m_{x 0 \to} f (x)

f (x) = {\begin{matrix} \frac{| x |}{x}, x \neq 0 0, x = 0 \end{matrix}

Evaluatef(x), where f(x) =

f (x) = ⎧ ⎨ ⎩ \begin{matrix} \frac{sin [x]}{[x]}, & [x] \neq 0 0, & [x] = 0 \end{matrix},

lim x \to 0 f (x)

Join BYJU'S Learning Program