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Mathematics
Problem
Briefly explain (one to two sentences) why the existence of
f
′
(
c
)
f'(c)
f
′
(
c
)
guarantees that
lim
x
→
c
f
(
x
)
=
f
(
c
)
\displaystyle\lim_{x\to c}f(x)=f(c)
x
→
c
lim
f
(
x
)
=
f
(
c
)
.
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