In Exercises 1742, write the partial fraction decomposition of the rational expression. Check your result algebraically 1x 2 x

L7 - 5 ex. Graph the given functions: 1 1 1 f(x)= g(x)= h(x)= − x − 1 (x − 1)2 (x − 1)2 ex. Use the graphs to ﬁnd the following limits: 1) lim f(x)= x→1− lim f(x)= x→1+ lim f(x)= x→1 2) lim g(x)= x→1 3) lim h(x)= x→1 Note the form of f(1), g(1) and h(1) for the above examples, and their relation to the limit of each function as x → 1.