How to do Q5 and Q3a? Thanks

3. (11 points) Evaluate the following limits. 2x + 2 (a) (2 points) lim,-+co x2+2+4 1 - cos(4x) (b) (3 points) lim,-to 72 x2 - 2 (c) (3 points) lim,-+2 72 - 5 (d) (3 points) limz-+o(ex + 2x) 27 x4 + 5x3 + 16x2 + 26x + 22 4.(8 points) Express as partial fractions. (x+ 1)(x2 + 2x+5) 5.(4 points)) Consider the function f(x) = x - 2sin(x) on the domain D = [-7, 37]. Find the intervals in D on which y = f(x) is increasing, and the intervals on which f is decreasing