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Mathematics
Problem
Explain whether the function
F
(
x
)
=
5
+
∫
0
x
f
(
t
)
d
t
F(x)=5+\int_{0}^{x} f(t)\,dt
F
(
x
)
=
5
+
∫
0
x
f
(
t
)
d
t
is continuous at
x
=
2
x=2
x
=
2
if
f
f
f
has a jump discontinuity at
t
=
2
t=2
t
=
2
. Give a brief reason.
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