Question

Find all points of discontinuity of the given function.

f(x) =

1/x if x < 0
x if 0 ≤ x ≤ 4
4x − 3 if x > 4

Answer 1

i'll do x=0 for you, you can do the rest

Answer 2

\[\lim_{x \rightarrow 0-} \frac{1}{x}=-\infty\]
\[\lim_{x \rightarrow 0+} x=0\]
discontinuous at x=0

Answer 3

now evaluate that limit at 4 from the left & right

Answer 4

thanks

Answer 5

yw