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Course: Calculus, all content (2017 edition) > Unit 7

Lesson 16: Challenge series exercises
Math
Calculus, all content (2017 edition)
Series
Challenge series exercises
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Series estimation challenge

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Problem

The infinite series for  ex  is given by
ex=1+x+x22!+x33!+…+xnn!+…
On the interval  −1≤x≤0, what is the minimum number of terms necessary to approximate the value of  ex  accurate to the nearest  0.01?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4