19 Evaluate the following limit Use LHospitals Rule where po

19) Evaluate the following limit. Use L\'Hospital\'s Rule where possible. If limit results in an 19) indeterminate form where L\'Hospital\'s Rule cannot be applied directly, manipulate the expresssion of the limit so that L\'Hospital\'s Rule can be applied directly. lima 1 cos (x x 0 x2 x

Solution

lim (1-cos(x))/(x²+x) =

lim (sin(x))/(2x+1) =

0/(2*0+1) =

0/1 = 0