Show that f : N → R+ defined by f(n) = 3Vn+2 +n is O(n), but f(n) is not O(/n).

Compute 2(х + 2) dx. O x3 + x2 +C x² (x2 + 2x) + C x² x2 + 2x ) + C x3 + C O 23 + x2 + C 3

Let fx)=1+x+x² and h = 0. (a) Does f(5+1)=f(5) + 1)? Yes .No Well done! (b) Find fx + h). (c) Does f(x+h)-f(x) + f(h)? O Yes No Great! (d) Does f(x+h)-f(x) +h? O Yes No You're right! (e) Find f(x+h)-, -1x) h and simplify

Let (a,m) = 1 with m>1 and let f = expm(a). Then expm (ak): expm (a) (k, f)