# b. Let f(x) = frac{e^{x}-e^{-x}}{x}. Use three-digit rounding arithmetic to evaluate f(0.1).

b. Let $f\left(x\right)=\frac{{e}^{x}-{e}^{-x}}{x}$.
Use three-digit rounding arithmetic to evaluate f(0.1).
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The given function is $f\left(x\right)=\frac{{e}^{x}-{e}^{-x}}{x}.$
Obtain the value of f(0.1)as shown below.
$f\left(0.1\right)=\frac{{e}^{0.1}-{e}^{-0.1}}{0.1}$
$=\frac{1.11-0.905}{0.1}$
$=2.05$
Thus, the value of f(0,1), is 2.05