Limits with Radicals - Expii
Functions with radicals, like (sqrt(1+h) - 1) / h, are often continuous on their domain, so the substitution rule applies when evaluating limits of such functions within their domains. However, outside of the domain (at singularities), limits take more work and may require algebraic manipulation, such as conjugating the numerator or denominator, or factoring like for limits of rational functions at singularities.