Final answer to the problem
$\frac{1}{21}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
Sort the polynomial $23x-x^2-22$ in descending order to handle it more easily
$\lim_{x\to1}\left(\frac{\ln\left(x\right)}{-x^2+23x-22}\right)$
Learn how to solve problems step by step online. Find the limit of ln(x)/(23x-x^2+-22) as x approaches 1. Sort the polynomial 23x-x^2-22 in descending order to handle it more easily. Factor the trinomial by -1 for an easier handling. Factor the trinomial -\left(x^2-23x+22\right) finding two numbers that multiply to form 22 and added form -23. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values.
Final answer to the problem
$\frac{1}{21}$
Exact Numeric Answer
$0.047619$
