Final answer to the problem
Step-by-step Solution
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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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Evaluate the limit $\lim_{x\to0}\left(\frac{\left|2+x\right|-2}{x}\right)$ by replacing all occurrences of $x$ by $0$
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{\left|2+0\right|-2}{0}$
Learn how to solve sum rule of differentiation problems step by step online. Find the limit of (abs(2+x)-2)/x as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\left|2+x\right|-2}{x}\right) by replacing all occurrences of x by 0. Add the values 2 and 0. An expression divided by zero tends to infinity. As by directly replacing the value to which the limit tends, we obtain an indeterminate form, we must try replacing a value close but not equal to 0. In this case, since we are approaching 0 from the left, let's try replacing a slightly smaller value, such as -0.00001 in the function within the limit:.
