MATB42H3 Lecture 1: matb42 review session

6. (10) Let f : [0, oo) → R be differentiable. If lim,→oof'(x)-L for a real number L, then lim (Az)

4(20pt). Let V be a vector space and T and S be in L(V, V), the set of all linear transformations frorn V to V. Define (ToS)(v)-T(S(v)) for any VE V. Show that ToS E LX, V)

(1 point) Note: this problem has two parts. You will com plete the second part after correctly submitting answers to the following parts (a)-C Suppose f(e)- l help (formulas) m( )- ll help (formulas) t +3 (c) Solve f(z) = 7. ll help (numbers)