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Question
\lim _{x\rightarrow 8}\left(\frac{\sqrt{x-4}+2}{x-3}\right)
Evaluate the limit
\frac{4}{5}
Alternative Form
0.8
Evaluate
\lim _{x\rightarrow 8}\left(\frac{\sqrt{x-4}+2}{x-3}\right)
Rewrite the expression
\frac{\lim _{x\rightarrow 8}\left(\sqrt{x-4}+2\right)}{\lim _{x\rightarrow 8}\left(x-3\right)}
Calculate
More Steps
Evaluate
\lim _{x\rightarrow 8}\left(\sqrt{x-4}+2\right)
Rewrite the expression
\lim _{x\rightarrow 8}\left(\sqrt{x-4}\right)+\lim _{x\rightarrow 8}\left(2\right)
Calculate
More Steps
Evaluate
\lim _{x\rightarrow 8}\left(\sqrt{x-4}\right)
Rewrite the expression
\sqrt{\lim _{x\rightarrow 8}\left(x-4\right)}
Calculate
\sqrt{4}
\text{Write the number in exponential form with the base of }2
\sqrt{2^{2}}
\text{Reduce the index of the radical and exponent with }2
2
2+\lim _{x\rightarrow 8}\left(2\right)
Calculate
2+2
Calculate
4
\frac{4}{\lim _{x\rightarrow 8}\left(x-3\right)}
Solution
More Steps
Evaluate
\lim _{x\rightarrow 8}\left(x-3\right)
Rewrite the expression
\lim _{x\rightarrow 8}\left(x\right)-\lim _{x\rightarrow 8}\left(3\right)
Calculate
8-\lim _{x\rightarrow 8}\left(3\right)
Calculate
8-3
Calculate
5
\frac{4}{5}
Alternative Form
0.8
Show Solutions
