Help with a lim to infinity

[regivo]

Hi all,
Can anyone help me solve this:

\(\displaystyle \displaystyle \lim_{n \rightarrow \infty}\, \dfrac{(1\, +\, g).\left((1\, +\, g)^n\, -\, 1\right)\, -\, g.n}{g}\)

 

[stapel]

Can anyone help me solve this:

\(\displaystyle \displaystyle \lim_{n \rightarrow \infty}\, \dfrac{(1\, +\, g).\left((1\, +\, g)^n\, -\, 1\right)\, -\, g.n}{g}\)

What is the meaning of the decimal points in the numerator?

You posted this to algebra, rather than to calculus, so you haven't studied calculus-type limits. What rules, algorithms, formulas, or other methods have you learned in your algebra class for attacking this sort of expression?

Please be complete. Thank you!