In Exercises 58, match the rational expression with the form of its decomposition. [The decompositions are labeled (a), (b), (c), and (d).] 3x 1x2x 43

L6 - 7 2 x − 1 If f(x)= m sec= x − 1 ,nirheoli: x f(x) x f(x) 0.5 1.5 1.5 2.5 0.9 1.9 1.1 2.1 0.99 1.99 1.01 2.01 0.999 1.999 1.001 2.001 Notesthat f(x) a x so in our example, slope of the tangent line = m tan = x − 1 We use the notation: lfx→1 im(x)=mlx→1 =2 x − 1 Introduction to Limits Def. Let f(x)b eaufi.W eayhtl f(x)= L x→c if we can make the values of f(x)a baileo L by taking x suﬃciently close to c (on either side of c)b tnt equal to c.