Question

Can anyone plz with steps

Answer 1

`\boxed{\sf \displaystyle{\lim_(x\to a)}(x^n)=a^n}`

`\\ \sf\longmapsto \displaystyle{\lim_(x\to \infty)}(√(3x)-√(x-5))`

`\\ \sf\longmapsto \displaystyle{\lim_(x\to \infty)}√(3x)-\displaystyle{\lim_(x\to \infty)}√(x-5)`

`\\ \sf\longmapsto \infty^{(1)/(2)}-√(\infty-5)`

`\\ \sf\longmapsto \infty-√(\infty)`

`\\ \sf\longmapsto\infty-\infty`

`\\ \sf\longmapsto\infty`