# Exercici 06.5

## apartat a)

kill(all)$

f(x):=(x-2) / (abs(x-2)) ;

'limit(f(x), x, 2, minus) = limit(f(x), x, 2, minus) ;

'limit(f(x), x, 2, plus) = limit(f(x), x, 2, plus) ;

wxplot2d([f(x)], [x,0,4], [y, -2, 2],  [gnuplot_preamble, "set grid;"])$

## Apartat b)

kill(all)$

f(x):= (2*x*sin(x)) / (abs(x)) ;

'limit(f(x), x, 0, minus) = limit(f(x), x, 0, minus) ;

'limit(f(x), x, 0, plus) = limit(f(x), x, 0, plus) ;

wxplot2d([f(x)], [x,-3, 3], [y, -1,3] , [gnuplot_preamble, "set grid;"])$