Final answer to the problem
$\frac{1}{21}$
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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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1
Factor the polynomial $3x^2-21x$ by it's greatest common factor (GCF): $3x$
Learn how to solve limits by factoring problems step by step online.
$\lim_{x\to7}\left(\frac{x-7}{3x\left(x-7\right)}\right)$
Learn how to solve limits by factoring problems step by step online. Find the limit of (x-7)/(3x^2-21x) as x approaches 7. Factor the polynomial 3x^2-21x by it's greatest common factor (GCF): 3x. Simplify the fraction \frac{x-7}{3x\left(x-7\right)} by x-7. Evaluate the limit \lim_{x\to7}\left(\frac{1}{3x}\right) by replacing all occurrences of x by 7. Multiply 3 times 7.
Final answer to the problem
$\frac{1}{21}$
Exact Numeric Answer
$0.047619$
