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Question
\lim _{x\rightarrow 2}\left(\frac{x^{2}+x-6}{x-2}\right)
Evaluate the limit
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Evaluate using transformations
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Evaluate using L'Hopital's rule
5
Evaluate
\lim _{x\rightarrow 2}\left(\frac{x^{2}+x-6}{x-2}\right)
Reduce the fraction
More Steps
Evaluate
\frac{x^{2}+x-6}{x-2}
Rewrite the expression
\frac{\left(x-2\right)\left(x+3\right)}{x-2}
Reduce the fraction
\frac{x+3}{1}
Calculate
x+3
\lim _{x\rightarrow 2}\left(x+3\right)
Rewrite the expression
\lim _{x\rightarrow 2}\left(x\right)+\lim _{x\rightarrow 2}\left(3\right)
Calculate
2+\lim _{x\rightarrow 2}\left(3\right)
Calculate
2+3
Solution
5
Show Solutions
