Limits at Infinity: Quiz

Problem 2

f(x) = x² + x

as in the previous problem. What is

in its most simplified form?

1. (x² + x)/h + h + 1
2. (2xh + h² + h)/h
3. 2xh + h² + h
4. 2x + h + 1

Answers, problem 2

4. (f(x+h) - f(x))/h = ((x² + 2xh + h² + x + h) - (x² + x))/h = h(2x + h + 1)/h = 2x + h + 1

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