cant solve the following limits

[Guest]

Hi guys,
I have a problem solving the following limits, and I will much appreciate if someone solve them for me with the steps , thanks in advance
[tex]\lim_{x \to 0}x \frac{e^x-1}{x^3+2x}[/tex]

[tex]\lim _{x\to \infty }\left(ax+1\right)^{\frac{1}{x}}[/tex]

[jjess]

1: Multiply the x with the fraction and you get: (e^x - 1)/ (x^2 + 2)
Find the limit and you get 0.

2: The power is 1/x. when x -> inf. , the power -> 0. Anything with power 0 = 1.