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Mathematics
Mathematics
Problem
Determine the value of
lim
t
→
2
(
t
−
2
)
cos
(
π
t
)
sin
(
π
2
(
t
−
2
)
)
.
\lim_{t\to 2} \frac{(t-2)\cos(\pi t)}{\sin\!\left(\tfrac{\pi}{2}(t-2)\right)}.
t
→
2
lim
sin
(
2
π
(
t
−
2
)
)
(
t
−
2
)
cos
(
π
t
)
.
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