Mathematics, 17.07.2019 11:00 anna8352
Find the limit of the function algebraically. (2 points) limit as x approaches nine of quantity x squared minus eighty one divided by quantity x minus nine.
Answers: 1
![\ell\\\\\\=\lim_{x\rightarrow 81}\dfrac{x^2-81}{x-9}\\\\\\=\lim_{x\rightarrow 9}\dfrac{x^2-9^2}{x-9}\\\\\\=\lim_{x\rightarrow 9}\dfrac{(x+9)(x-9)}{(x-9)}\\\\=\lim_{x\rightarrow 9}(x+9)~~~~~~~~~~~~~~~~[\textup{since }x\rightarrow 9,~so~x\neq 9]\\\\=9+9\\\\=18.](/tpl/images/0099/9265/e3b46.png)
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Find the limit of the function algebraically. (2 points) limit as x approaches nine of quantity x sq...
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