Chapter 2.2, Problem 35E

For the following exercises, consider the function $f\left(x\right)={\left(1+x\right)}^{1/x}$ .

35. [T] $\underset{x\to 0}{\lim }\frac{\sin 2x}{x};\pm 0.1,\pm 0.01,\pm 0.001,\pm 0.0001$

x	$\frac{\sin 2x}{x}$	x	$\frac{\sin 2x}{x}$
-0.1	a.	0.1	e.
-0.01	b.	0.01	f.
-0.001	c.	0.001	g.
-0.0001	d.	0.0001	h.