Question

How do you evaluate the limit `sqrt(2x+3)` as x approaches `3`?

Answer 1

`lim_(xrarr3)sqrt(2x+3)=3`

Explanation:

Since `sqrt(2x+3)` is defined when `x=3`
the limit as `x` approaches `3` is simply the value of `sqrt(2x+3)` when `3` is substituted for `x`

`sqrt(2x+3)` with `x=3`
`color(white)("XXX")= sqrt(2 * 3 +3)=sqrt(9) =3`