Please help me solve these problems

Mathematics IB Assignment Written 8 Semester 2, 2023 Algebra Find the eigenvalues and eigenveotors of the following matrix 1 0 2 0 0 0 . 2 0 4 Calculus Let f($) = 3111(2}/(1+l[1(:s))- (a) Verify that as a: > so the function at) is an indeterminant form as in Property 2.13 (and identify which form it is). (b) Use I'Hopital's rule to calculate the limit h'm f (.13) 1}00