# How do you find the limit #(sqrt(x^2+1)-1)/(sqrt(x+1)-1)# as #x->0#?

Use a variation of the same method used for similar limits.

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To find the limit of (sqrt(x^2+1)-1)/(sqrt(x+1)-1) as x approaches 0, we can use algebraic manipulation. By multiplying the numerator and denominator by the conjugate of the denominator, we can simplify the expression. After simplification, we can substitute x=0 into the expression to find the limit. The limit is equal to 1.

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