Question

How do you find the limit of `(2x-3)/(x+5)` as `x->3`?

Answer 1

`3/8`

Explanation:

`"evaluate using direct substitution"`

`lim_(xto3)(2x-3)/(x+5)=(6-3)/(3+5)=3/8`

Note that this works because the function is continuous at `x=3`.
Note: `lim_(x->c)f(x)=f(c)` when the function is continuous at `c`