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Mathematics
Mathematics
Problem
For
a
=
4
a=4
a
=
4
and
b
=
3
b=3
b
=
3
, evaluate
lim
t
→
0
1
−
cos
a
t
t
sin
b
t
\displaystyle \lim_{t\to 0} \dfrac{1-\cos at}{t\sin bt}
t
→
0
lim
t
sin
b
t
1
−
cos
a
t
. a)
16
3
\dfrac{16}{3}
3
16
b)
4
3
\dfrac{4}{3}
3
4
c)
8
3
\dfrac{8}{3}
3
8
d)
2
3
\dfrac{2}{3}
3
2
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