Limits of Functions: Quiz

Problem 1

Consider the function

2x2

What is f(1.5)?

For each of the following small values of h, compute

  1. h = 0.5
  2. h = 0.1
  3. h = 0.01

Answers, problem 1

f(1.5) = 2(1.5)(1.5) = 4.5

  1. (f(2) - f(1.5))/0.5 = (2(22) - 4.5)/0.5 = 7
  2. (f(1.6) - f(1.5))/0.1 = (2(1.62) - 4.5)/0.1 = 6.2
  3. (f(1.51) - f(1.5))/0.01 = (2(1.512) - 4.5)/0.01 = 6.02

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