L'Hopital's Rule

If $f\left(0\right)=1$ then at $t=0$, the function $f\left(t\right)=\frac{\sin t}{t}$ has

Value of $\mathrm{A}=\underset{x\to \frac{\mathrm{\pi }}{2}}{\lim }{\left(\sin x\right)}^{\mathrm{tanx}}$ is

Value of $\underset{x\to +0}{\lim }x\ln x$ is

Value of $\underset{x\to 0}{\lim }\frac{2^x-1}{\sin x}$ is