Explain that to me a picture please

69) Use the Intermediate Value Theorem to prove that cos x = x has a solution. Hint: consider f(x) = cosx x and see if it changes sign on a certain interval. Non-texbook: In order to compute the following limit, you need to us Theorem 2.10 the book. Explain how it's being used here. lim cos( 3x2) x>0 Section 2.6 79) lim h(x) = - 1, lim h(x) = 1, lim h(x) = 1, and lim+ h(x) = 1. x>oo x)U) 1)0 x_,0 Find a function that satisfies the given conditions and sketch its graph. (The answers here may not be unique. Any function which satisfies the conditions is acceptable. You could use functions defined in pieces to help meet the requirements.)