SOLUTION: Evaluate the limit, if it exisit
lim goes to 0 of sqrt(1+t)-sqrt(1-t)/t
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Question 987100: Evaluate the limit, if it exisit
lim goes to 0 of sqrt(1+t)-sqrt(1-t)/t
Answer by ikleyn(52804) (Show Source): You can put this solution on YOUR website!
.
When t goes to 0, the function is equivalent to and the function is equivalent to ,
so the difference - is equivalent to
- (-) = .
Therefore, the limit of at t -->0 is 1.
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