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Mathematics
Problem
Explain why assigning
f
(
a
)
=
lim
x
→
a
f
(
x
)
f(a)=\displaystyle\lim_{x\to a}f(x)
f
(
a
)
=
x
→
a
lim
f
(
x
)
(when this limit exists and is finite) makes the function
f
f
f
continuous at
x
=
a
x=a
x
=
a
.
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