Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve without using l'Hôpital
- Solve using L'Hôpital's rule
- 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
- Integrate by substitution
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Applying rationalisation
Learn how to solve limits by direct substitution problems step by step online.
$\lim_{h\to0}\left(\frac{\sqrt{4+h}-2}{h}\frac{\sqrt{4+h}+2}{\sqrt{4+h}+2}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((4+h)^(1/2)-2)/h as h approaches 0. Applying rationalisation. Multiply and simplify the expression within the limit. Subtract the values 4 and -4. Simplify the fraction \frac{h}{h\left(\sqrt{4+h}+2\right)} by h.