Can someone solve this question ~ \lim _(x \rightarrow-3) (x^(2)-9)/(x^(2)+2 x-3) \boxed{\boxed{Step \: by \: step \: explanation \: required~}}\ ​

Question

Can someone solve this question ~


`\lim _(x \rightarrow-3) (x^(2)-9)/(x^(2)+2 x-3)`

`\boxed{\boxed{Step \: by \: step \: explanation \: required~}}\`
​

Answer 1

Hope you could understand.

If you have any query, feel free to ask.

Answer 2

`\\ \sf{:}\Rrightarrow {\displaystyle{\lim_(x\to -3)}}(x^2-9)/(x^2+2x-3)`

`\\ \sf{:}\Rrightarrow {\displaystyle{\lim_(x\to -3)}}((x+3)(x-3))/(x^2+3x-x-3)`

`\\ \sf{:}\Rrightarrow {\displaystyle{\lim_(x\to -3)}}\frac{\cancel{(x+3)}(x-3)}{\cancel{(x+3)}(x-1)}`

`\\ \sf{:}\Rrightarrow {\displaystyle{\lim_(x\to -3)}}(x-3)/(x-1)`

• Apply limits

`\\ \sf{:}\Rrightarrow (-3-3)/(-3-1)`

`\\ \sf{:}\Rrightarrow (-6)/(-4)`

`\\ \sf{:}\Rrightarrow (3)/(2)`