Please explain your steps, legibly, so I can follow your work and I will make sure to give you a "Like."

For a symmetric matrix M E Rnxn we denote respectively \min(M) and Imax (M) the smallest and largest eigenvalue of M. Let f:R" +R be a function that is twice continuously differentiable. We assume that def y = XERO inf \min (H f(x)) and def L sup Imax (H f(x)) XERO are both finite. Show that for all x, h ER": f(x) + (Of(a), h) + 2 || 125 f(x + h) = f(x) + (Of(), h) + |2 . For a symmetric matrix M E Rnxn we denote respectively \min(M) and Imax (M) the smallest and largest eigenvalue of M. Let f:R" +R be a function that is twice continuously differentiable. We assume that def y = XERO inf \min (H f(x)) and def L sup Imax (H f(x)) XERO are both finite. Show that for all x, h ER": f(x) + (Of(a), h) + 2 || 125 f(x + h) = f(x) + (Of(), h) + |2