Calculus

Which of the following functions grows the fastest as x goes to infinity?
a) f(x) √x
b) f(x) √(x+1)
c) f(x) √(10x+1)
d) They all grow at the same rate as x goes to infinity

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asked by Alice
  1. for large x,
    √(x+1) ≈ √x
    √(10x+1) ≈ √10 √x
    so, what do you think?

  2. answer C?

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    posted by Alice
  3. Yes , The square root of 10 is greater than one.

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    posted by Damon

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