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UNO [17]
3 years ago
8

Describe the continuity of the graphed function

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0

we know that

Any function f(x) is continuous at x=a only if

\lim_{x \to a-} f(x) = \lim_{x \to a+} f(x)=f(a)

We can see that this curve is smooth everywhere except at x=3

so, we will check continuity at x=3

Left limit is:

\lim_{x \to 3-} f(x) = -\infty

Right limit is:

\lim_{x \to 3+} f(x) = +\infty

Functional value:

f(3)= DNE

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


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