Question

How do you find the limit `(1-t/(t-1))/(1-sqrt(t/(t-1))` as `x->oo`?

Answer 1

2

Explanation:

Use `(a-b)(a+b)=a^2-b^2`.

The given function is

`(1+sqrt(t/(t-1)))(1-sqrt(t/(t-1)))/(1-sqrt(t/(t-1)))`

`=1+sqrt(t/(t-1))`

`=1+sqrt(1/(1-1/t)) to 1+1=2`, as `t to oo`