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Infinite limits challenge

You might need: Calculator

Problem

Let f, left parenthesis, x, right parenthesis, equals, start fraction, natural log, x, divided by, x, end fraction. Use your calculator to fill in the missing values in the table below. Give your answer accurate to the nearest 0, point, 01.
xf, left parenthesis, x, right parenthesis
20, point, 35
10
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
100
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
1000
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
Now use the values from the table above to find limit, start subscript, x, \to, infinity, end subscript, f, left parenthesis, x, right parenthesis.
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