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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
π
2
−
x
cos
x
1
−
sin
x
\displaystyle \lim_{x\to \frac{\pi}{2}^{-}}\frac{x\cos x}{1-\sin x}
x
→
2
π
−
lim
1
−
sin
x
x
cos
x
. a)
−
π
2
-\dfrac{\pi}{2}
−
2
π
b)
+
∞
+\infty
+
∞
c)
π
2
\dfrac{\pi}{2}
2
π
d)
−
2
-2
−
2
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