MCQ
Function $f(x)={\left( {1 + \frac{1}{x}} \right)^x}$ then The function $ f (x)$
- Ahas a maxima but no minima
- Bhas a minima but no maxima
- Chas exactly one maxima and one minima
- ✓has neither a maxima nor a minima
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$f(x+y)+f(x-y)=2 f(x) f(y), f\left(\frac{1}{2}\right)=-1 .$ Then, the value of $\sum_{\mathrm{k}=1}^{20} \frac{1}{\sin (\mathrm{k}) \sin (\mathrm{k}+\mathrm{f}(\mathrm{k}))}$ is equal to: