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Let f(x) = (sin 3x)/(sin 5x) for x ≠ 0. For which value… | StemPy Lab
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Let f(x) = (sin 3x)/(sin 5x) for x ≠ 0. For which value of f(0) is f continuous at 0?
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Functions and Calculus › Continuity and Differentiability
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StemPy Lab
Let
f
(
x
)
=
sin
3
x
sin
5
x
f(x) = \dfrac{\sin 3x}{\sin 5x}
f
(
x
)
=
sin
5
x
sin
3
x
for
x
≠
0
x \ne 0
x
=
0
. For which value of
f
(
0
)
f(0)
f
(
0
)
is
f
f
f
continuous at
0
0
0
?
5
3
\dfrac{5}{3}
3
5
1
1
1
15
15
15
3
5
\dfrac{3}{5}
5
3
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