Chapter 11.1, Problem 67E

a.

To determine

To match: The function $\sqrt{1+2x}$ with its Taylor polynomial.

b.

To determine

To match: The function $\frac{1}{\sqrt{1+2x}}$ with its Taylor polynomial.

c.

To determine

To match: The function $e^{2x}$ with its Taylor polynomial.

d.

To determine

To match: The function $\frac{1}{1+2x}$ with its Taylor polynomial.

e.

To determine

To match: The function $\frac{1}{{\left(1+2x\right)}^3}$ with its Taylor polynomial.

f.

To determine

To match: The function $e^{-2x}$ with its Taylor polynomial.