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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
+
3
,
x
<
1
k
sin
x
,
x
≥
1
f(x)=\begin{cases}x^{2}+3,& x<1\\k\sin x,& x\ge 1\end{cases}
f
(
x
)
=
{
x
2
+
3
,
k
sin
x
,
x
<
1
x
≥
1
For which value of
k
k
k
does
lim
x
→
1
f
(
x
)
\displaystyle\lim_{x\to 1}f(x)
x
→
1
lim
f
(
x
)
exist? a)
4
sin
1
4\sin 1
4
sin
1
b)
4
cos
1
\dfrac{4}{\cos 1}
cos
1
4
c)
4
sin
1
\dfrac{4}{\sin 1}
sin
1
4
d)
4
4
4
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