Question

Derivative this Problem.

Answer 1

Explanation:

`\tt \lim \limits_(x \to1) \frac{ {x}^(2) - 1 }{x - 1} = ...`

`= \tt \lim \limits_(x \to1) \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}}`

`= \tt \lim \limits_(x \to1)(x + 1)`

`= \tt1 + 1`

`= \boxed{ \bold{ \blue{ \underline2}}}`

Answer 2

`\\ \sf\longmapsto {\displaystyle{\lim_(x\to 1)}}(x^2-1)/(x-1)`

`\\ \sf\longmapsto {\displaystyle{\lim_(x\to 1)}}(x^2-1^2)/(x-1)`

`\\ \sf\longmapsto 2(1)^(2-1)`

`\\ \sf\longmapsto 2(1)`

`\\ \sf\longmapsto 1`