I need help with these problems.

Find each limit, if possible. 1. a) lim x- +2 1400 X3 - 1 b) lim 2x- + 2 x-+00 3x- - 1 c) lim x- +2 x+00 x - 1 2. a) lim Vx- - 1 X-+00 2x + 5 b) lim X-+00 X Analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptote. 3. y = 4x - 6x2 - 24x 4. f(x) = x-+1 X2- 4 5. f (x) = X x2 + 1 6. A rectangular page is to contain 36 square inches of print. The margins of each side are 1- inches. Find the dimensions of the page that the least amount of paper is used. 212. A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 245,000 square meters in order to provide enough grass for the herd. What dimensions will require the least amount of fencing if no fencing is needed along the river? 13. A rancher has 400 feet of fencing with which to enclose two adjacent rectangular corrals. What dimensions should be used to that the enclosed ara will be a maximum? Use the information to evaluate and compare A y and dy 14. y = x# +1 X=-1 Ax = dx = 0.01 15. y = 1 - 2x2 Ax = dx = -0.1