MCQ
$\lim\limits_{\text{x}\rightarrow0}\frac{\text{ae}^\text{x}+\text{b}\cos\text{x}+\text{c.e}^\text{x}}{\sin^2\text{x}}=4$ then $\text{ b:}$
- ✓$2$
- B$4$
- C$-2$
- D$-4$
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$(A)$ $\left|z+\frac{1}{2}\right| \leq \frac{1}{2}$ for all $z \in S$ $(B)$ $|z| \leq 2$ for all $z \in S$
$(C)$ $\left|z+\frac{1}{2}\right| \geq \frac{1}{2}$ for all $z \in S$ $(D)$ The set $S$ has exactly four elements