[-/1 Points] DETAILS SCALCET9 2.3.059. If p is a polynomial, show that lim p(x) = p(a). x- a Since p(x) is a polynomial, p(x) = a + a1 tax'+ ... tax x0. Th lim p(x) = lim x - a ao + a1 tax '+ ... + ax x - a = an+ a, lim + a, lim (x ) + ... + a lim (x?) x - a 2 x-a in x - a + ao a1 + a,a + . . . + a a" = p(a). Thus, for any polynomial p, lim p(x) = p(a). x - a Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x2 cos x - 0 Need Help? Read It Watch It Submit Answer 11. [-/1 Points] DETAILS SCALCET9 2.3.044. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim |x + 31 x - -3 4x + 12 Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim 4 - x x -9