we know that
Any function f(x) is continuous at x=a only if
[tex]\lim_{x \to a-} f(x) = \lim_{x \to a+} f(x)=f(a)[/tex]
We can see that this curve is smooth everywhere except at x=3
so, we will check continuity at x=3
Left limit is:
[tex]\lim_{x \to 3-} f(x) = -\infty[/tex]
Right limit is:
[tex]\lim_{x \to 3+} f(x) = +\infty[/tex]
Functional value:
[tex]f(3)= DNE[/tex]
we can see that left limit is not equal to right limit
so, limit does not not exist
so, this function is discontinuous at x=3
Since, limit does not exist
so, there will be non-removal discontinuity at x=3
so, option-C........Answer
