Question
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow{\frac{\pi}{2}}}\frac{\sin2\text{x}}{\cos\text{x}}$
$\lim\limits_{\text{x}\rightarrow{\frac{\pi}{2}}}\frac{\sin2\text{x}}{\cos\text{x}}$
$=\lim\limits_{\text{x}\rightarrow\frac{\pi}{2}}\frac{2\sin\text{x}\cos\text{x}}{\cos\text{x}}$ $=2\lim\limits_{\text{x}\rightarrow\frac{\pi}{2}}\sin\text{x}$ $=2\times\sin\frac{\pi}{2}$ $=2\times1$ $=2$
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| P(A) | P(B) | $\text{P}({\text{A}}\cap{\text{B}})$ | $\text{P}({\text{A}}\cup{\text{B}})$ | |
| (i) | $\frac{1}{3}$ | $\frac{1}{5}$ | $\frac{1}{15}$ | ....... |
| (ii) | 0.35 | .... | 0.25 | 0.6 |
| (iii) | 0.5 | 0.35 | .... | 0.7 |