Evaluate lim x -> 0

(sqrt (3x+1)) - 1
           x

Answer: _____ / _____

in Calculus Answers by Level 2 User (1.0k points)

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1 Answer

If x is very small (positive or negative) we have: ((1+3x)^½-1)/x=(1+3x/2-1)/x=3/2. So the limit is 3/2.

(There is a very simple way to do these limit questions or check the answers using a calculator.)

by Top Rated User (1.1m points)

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