Open Question: Limit with Radicals When x approaches Zero

by Rajat
(Bhubaneswar,Orissa,India)

We've seen limits of similar functions when x approaches infinity, for example: Limit with radicals. However, how do we find this limit?



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Jun 08, 2012
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Answer
by: Mustafa

Write the function in a fractional form...that is (a+xsq)^1/2 and(a-xsq)^1/2 separately under the denominator. Simplify by removing the sqrt sign and then subtract the two. You will end up with lim as x->0 of 2/xsq which is undefined or its infinity.

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