Science:Math Exam Resources/Courses/MATH102/December 2019/Question 05 (b)/Statement

For this question, let

$f(x)=1-(1+x{)}^{-1}$

You may use the following facts without proving them:

• $f(x)=\frac{x}{1+x}$
• $f(x)=\frac{1}{(1+x{)}^2}$
• $f(x)=\frac{-2}{(1+x{)}^3}$

(b) Does the function from (a) give an overestimate or an underestimate of $f(x)$ for values of $x$ close to (but different from) 10? Why?