Question

What is the value of `lim_(x-> 0) (1/3 + x)/x - (1/3 - x)/x`?

Answer 1

Start by simplifying the numerator of the entire expression.

`=lim_(x -> 0)(1/3 + x - 1/3 + x)/x`

`=lim_(x ->0) (2x)/x`

`=lim_(x ->0) (2)`

`=2`

Hopefully this helps!