cant solve the following limits

cant solve the following limits

Postby Guest » Sat Aug 12, 2017 7:52 am

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]





Guest
 

Re: cant solve the following limits

Postby jjess » Wed Aug 16, 2017 1:50 pm

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.

jjess
 
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