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Continuity and the Intermediate Value Theorem
Recognising a continuous function
MCQ
Which of the following statements about continuity are true?
Possible answers
A function continuous at
a
a
a
necessarily has a finite limit at
a
a
a
, equal to
f
(
a
)
f(a)
f
(
a
)
Any function that has a limit at
a
a
a
is automatically continuous at
a
a
a
The sum of two functions continuous at
a
a
a
is continuous at
a
a
a
The function
f
(
x
)
=
1
x
f(x) = \dfrac{1}{x}
f
(
x
)
=
x
1
is continuous on all of
R
\mathbb{R}
R
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