I have found that multivariable limits are harder to find and/or prove that something exists.(adsbygoogle = window.adsbygoogle || []).push({});

Do you have any recommendations, given questions like "find(if exists) the limit....".

For example, I have no idea how to even start thinking about the following limit(if it exists or not, and if it does, what is the value):

[tex] \lim_{\textbf{x}\rightarrow 0} \frac{e^{|\textbf{x}|^2}-1}{|\textbf{x}|^2 +x_1^2x_2+x_2^2x_3} [/tex]

where [tex] \textbf{x}=(x_1,x_2,x_3)[/tex]

I would like to get any help for dealing with limits such as the aforementioned and others.

Thank you.

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# I Multivariable limits

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