- #1
mr.tea
- 102
- 12
I have found that multivariable limits are harder to find and/or prove that something exists.
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.
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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