2.5 Pick out the uniformly continuous functions: a. f(x) = cos x cos, x =]0, 1[; b. f(x)=sin x cos x]0, 1[; c. f(x)=sin x, x = [0, [; 2.6 Evaluate: n kekx, x = R\{0}. k=1 2.7 Let f R R be a function which is differentiable at x = a. Evaluate the following: a. b. lim x a k a" f(x)-x" f(a). x-a lim n [ / (a + 2) k(a)]. 2.8 Find the cube roots of -i. f 2.9 Evaluate: z+2 dz Z where I is the semi-circle z = 2e0, 0 varying from 0 to T. 2.10 Find the points z in the complex plane where f'(z) exists and evaluate it at those points: a. f(z) = x+ iy; == b. f(z) =zIm(2), where Im(2) denotes the imaginary part of z. Activa