Question: Part 2 Problem 5. [10 marks; 15 minutes] Let f(x) = 23 + 2r + 3. (a) Show that f is one-to-one. (b) Find (f

Part 2 Problem 5. [10 marks; 15 minutes] Let f(x) =

Part 2 Problem 5. [10 marks; 15 minutes] Let f(x) = 23 + 2r + 3. (a) Show that f is one-to-one. (b) Find (f 1)'(3). (c) Find an equation to the line tangent to the graph of f- at the point (3, f-1(3)). Problem 6. [16 marks; 20 minutes] (a) Determine if the given series is convergent or not. 10" n 10 n= 0 n! (b) Let an - 9/10" and set S, = ant . . . + an for all n 2 1. Find lim Sn Problem 7. [16 marks; 20 minutes] (a) Find the power series representation of f (1 ) = 1-731 for - 1

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