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Exercise

$\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{x^2-1}\right)$

Step-by-step Solution

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Final answer to the exercise

$\frac{1}{8}$

Exact Numeric Answer

$0.125$

Try other ways to solve this exercise

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  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Main Topic: Limits by L'Hôpital's rule

In mathematics, and more specifically in calculus, L'Hôpital's rule uses derivatives to help evaluate limits involving indeterminate forms.

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