Limits: Rational Square Root Function

PROBLEM:

ATTEMPT:

I tried transforming the expression by the conjugate to remove the square root expression in hopes of vanishing the t in the denominator, but it appears to result in an indeterminate form. Assuming that a limit exists, what is an appropriate transformation for this function?

Re: Limits: Rational Square Root Function

Hello, Lambin!

Is there a typo?

If , the numerator becomes a complex number,

Perhaps you mean: .

Re: Limits: Rational Square Root Function

Oh, you are right. I got it now, thanks!