(Solved): 2. (a) [2pts] Using a calculator, numerically calculate the following limits to 6 decimal places. - ...

2. (a) $[2\mathrm{pts}]$ Using a calculator, numerically calculate the following limits to 6 decimal places. - For each of (i) and (ii), you must show at least 3 calculations converging towards the limit. The last two calculations must agree to 6 decimal places. All trigonometric functions are in radians. (i) ${\lim }_{x?0}\frac{\tan (x)}{x}$ (ii) ${\lim }_{x?0}\frac{2^x?1}{x}$