Answer
$(s+h)^{2}+\displaystyle \frac{1}{s+h}-(s^{2}+\frac{1}{s})$
Work Step by Step
Use the result of (f)
$g(s+h)=(s+h)^{2}+\displaystyle \frac{1}{s+h}$
$g(s+h)-g(s)=(s+h)^{2}+\displaystyle \frac{1}{s+h}-(s^{2}+\frac{1}{s})$
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