Question

Can anyone do it with steps plz . i really appreciate if you do

Answer 1

$\boxed{\sf {\displaystyle{\lim_{x\to a}}}f(x)=f(a)}$

$\\ \sf\longmapsto {\displaystyle{\lim_{x\to \infty}}}\sqrt{x}(\sqrt{x}-\sqrt{x-a})$

$\\ \sf\longmapsto \sqrt{\infty}(\sqrt{\infty}-\sqrt{\infty-a})$

$\\ \sf\longmapsto \infty(\infty-\sqrt{\infty})$

$\\ \sf\longmapsto \infty(\infty-\infty)$

$\\ \sf\longmapsto \infty(\infty)$

$\\ \sf\longmapsto \infty$