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Mathematics
Mathematics
Problem
21. Discuss the continuity of the following functions: (a)
f
(
x
)
=
sin
x
+
cos
x
f(x)=\sin x+\cos x
f
(
x
)
=
sin
x
+
cos
x
(b)
f
(
x
)
=
sin
x
−
cos
x
f(x)=\sin x-\cos x
f
(
x
)
=
sin
x
−
cos
x
(c)
f
(
x
)
=
sin
x
⋅
cos
x
f(x)=\sin x \cdot \cos x
f
(
x
)
=
sin
x
⋅
cos
x
(a)
f
(
x
)
=
sin
x
+
cos
x
f(x)=\sin x+\cos x
f
(
x
)
=
sin
x
+
cos
x
(b)
f
(
x
)
=
sin
x
−
cos
x
f(x)=\sin x-\cos x
f
(
x
)
=
sin
x
−
cos
x
(c)
f
(
x
)
=
sin
x
⋅
cos
x
f(x)=\sin x \cdot \cos x
f
(
x
)
=
sin
x
⋅
cos
x
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