a. lim(tanx • lnx) x-> 0+ I got lim = 0 b. lim x^1/x x->infinity I got lim = 1 c. Find (if possible) the maximum and minimum values of g(x) = x^2 + 1/x^2 for x>0. Clearly show that you have found the extrema. I found; no maximum value and g(1)=2 for my minimum. d. Use Newton's method to estimate the solution of the equation sinhx = 1-x. Display the rationale for your initial approximation and the Newton iteration formula for this particular problem. x_n+1_= Xn - f(x)/f'(x) X1=0 X2=.5 X3=.490085 X4=.490073 e. Show that for every number a, the linear approximation L(x) to the function f(x) = x^2 at a satisfies f(x) ≥ L(x). [Hint: Construct L(x) at an arbitrary a-value, then determine the sign of the difference f(x) - L(x).] my work: L(x) (approx) = f(a) +f'(a)(x-a) = a^2 + 2a(x-a) Substitute 0 in for a = 0^2 + 2(0)(x-0) L(x)=x Therefore f(x) ≥ L(x) x^2 ≥ x Thanks a bunch.