Check the continuity of the function f(x) = {\(\begin{matrix} 1, & if & x\le 0 \\ 2, & if & x>0 \end{matrix}\)

1

(a)

{Not continuous}

Check the continuity of the function f (x) = |x| at x = 0

1

(a)

{continuous}

Check the continuity of the function f(x) = sinx + x² at x = 0

1

(a)

{continuous}

Examine the continuity of the function f(x) = |x|

1

(a)

{continuous}

Write the points of discontinuity of the function f(x) = [x] where [x] denotes the gretest integer function less than or equal to x.

1

(a)

{All Integers}