[1/x *((1/(sqrt(1+x))-1)] It will be easier to understand if you write it out.. How would I algebraically do this? (The answer is -1/2) Help please?
The derivative of x (the denominator) is 1. The derivative of 1/(sqrt(1+x) -1 at x = 0 is (-1/2)(1+x)^-3/2 = -1/2 So the limit is (-1/2)/1 = -1/2
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