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(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
When  t  goes to  0,  the function sqrt%281%2Bt%29-1  is equivalent to  1%2F2t  and the function  sqrt%281-t%29-1  is equivalent to  -1%2F2t,
so the difference  sqrt%281%2Bt%29 - sqrt%281-t%29  is equivalent to

1%2F2t%29 - (-1%2F2t) = t.

Therefore,  the limit of  %28sqrt%281%2Bt%29+-+sqrt%281-t%29%29%2Ft  at  t -->0  is  1.