Evaluate limit of x(sqrt(1+x^-2)) as x approaches 0+.

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Evaluate limit of x(sqrt(1+x^-2)) as x approaches 0+.

Mathematics
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  • l
Take all the terms into the radical and simplify. *
even the x on the outside?

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The answer I get is 1, but the answer is -1
  • l
x . sqrt(1+1/x^2) = sqrt( x^2 + 1) lim_0 sqrt( x^2 + 1) = 1 It is 1. *
Maybe the answer key is wrong?
xsqrt(1/x^2 +1) = xsqrt(1/x^2(x^2 + 1)) (take out 1/x^-2 as a common factor x*1/x*sqrt(x^2 +1) sqrt(0+1)=1
Sorry, I meant 1/x^2 (aka x^-2)
yeah, I understand. Thank you

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