Question

If limit of `f(x)=2` and `g(x)=3` as `x->c`, what the limit of `f(x)g(x)` as `x->c`?

Answer 1

`lim_(x rarr c) {f(x)g(x)} = 6`

Explanation:

We are given that:

`lim_(x rarr c) f(x) =2` and lim_(x rarr c) g(x) =3 #

And so by the properties of limits:

`lim_(x rarr c) {f(x)g(x)} = lim_(x rarr c) {f(x)} * lim_(x rarr c) {g(x)}`
`" "= 2 * 3`
`" "= 6`