- #1
cpyap
- 13
- 0
Homework Statement
What will be the limit of
a) [tex]lim_{n\rightarrow\infty}\frac{2+3^{n+1}}{(n+1)(2+3^{n})}[/tex]
b) [tex]lim_{x\rightarrow\infty} (x+1)ln(x+1) - x ln(x) - 1[/tex]
Homework Equations
-
The Attempt at a Solution
It is actually coming from infinite series question,
which I goes into the limit step and stuck.
[tex]lim_{n\rightarrow\infty}\frac{2+3^{n+1}}{(n+1)(2+3^{n})}[/tex] look like equal to 0,
[tex]ln\left[\frac{(x+1)^{x+1}}{x^{x}}\right][/tex] look like equal to [tex]\infty[/tex],
but I don't know how to work on them,
which pretty much stuck on this stage.
Any help will be appreciated.
Thanks!
Last edited: