French Reed
06/12/2024 · Primary School
A: Multivariable Calculus 1. Determine whether the following limits exist. Compute them when they exist. (a) \[ \lim _{(x, y) \rightarrow(0,0)} \frac{\tan \left(x^{2}+y^{2}\right)}{x^{2}+y^{2}+x^{6} y^{4}+x^{4} y^{6}} \] (b) \( \lim _{(x, y) \rightarrow(0,0)} \frac{x^{2} y^{2}}{x^{2} y^{2}+(x-y)^{2}} \)
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### (a)
Gränsvärdet existerar och är 1.
### (b)
Gränsvärdet existerar inte.
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