Chapter 4, Problem 13P

Evaluate and interpret the condition numbers for

(a) $f\left(x\right)=\sqrt{\left|x-1\right|}+1\text{ for }x=1.00001$

(b) $f\left(x\right)=e^{-x}\text{ for }x=10$

(c) $f\left(x\right)=\sqrt{x^2+1}-x\text{ for }x=300$

(d) $f\left(x\right)=\frac{e^{-x}-1}{x}\text{ for }x=0.001$

(e) $f\left(x\right)=\frac{\sin x}{1+\cos x}\text{ for }x=1.0001\pi$