Is the function f defined by fx - - x-if x - 1- 5-if x - 1 -continuous at x-0- At x-1- At x-2-

Continuous at x=0 LHL=RHL=0 discontinuous at x=1 [RHL=5] [LHL=1] and continuous at x=2 LHL=RHL=5 ...

Is the functi...

Question

Is the function $f$ defined by
$f (x) = {\begin{matrix} x, i f x \leq 1 5, i f x > 1 \end{matrix}$
continuous at $x = 0 ?$ At $x = 1 ?$ At $x = 2 ?$

Open in App

Solution

Suggest Corrections

Similar questions

f

f (x) =

{\begin{matrix} x, i f x \leq 1 5, i f x > 1 \end{matrix}

x = 0

x = 1

x = 2

f

f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{{cos}^{2} x - {sin}^{2} x - 1}{\sqrt{x + 1} - 1} & , if x \neq 0 k & , if x = 0 \end{matrix},

x \neq 0,

x = 0

f

f (x) = {\begin{matrix} x + 2, i f x \leq 1 x - 2, i f x > 1 \end{matrix}

f (x) = {\begin{matrix} x^{2} sin \frac{1}{x}, & i f x \neq 0 0, & i f x = 0 \end{matrix}

f,

f

f (x) = ⎧ ⎨ ⎩ \begin{matrix} - 2, i f x \leq - 1 2 x, i f - 1 \leq x \leq 1 2, i f x > 1 \end{matrix}