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?