Mathematica Limits: How to Evaluate Limits with 2 Variables Approaching 0

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SUMMARY

Mathematica (MMA) can evaluate limits of functions with two variables as they approach a specific value, such as zero. Users can utilize the Limit function in the format Limit[Limit[expr, x -> x0], y -> y0] to compute these limits, although the order of evaluation may affect the outcome. Recent changes in the help system have made it difficult for users to find relevant examples and demonstrations regarding this functionality. Understanding the implications of variable order in limit evaluation is crucial for accurate results.

PREREQUISITES
  • Familiarity with Mathematica (MMA) software
  • Understanding of multivariable calculus concepts
  • Knowledge of the Limit function syntax in Mathematica
  • Experience with evaluating limits in mathematical expressions
NEXT STEPS
  • Research the Limit function in Mathematica documentation for multivariable limits
  • Explore examples of Limit[Limit[expr, x -> x0], y -> y0] to understand order effects
  • Study the implications of variable order in limit evaluation in multivariable calculus
  • Look for community resources or forums discussing recent changes in Mathematica help documentation
USEFUL FOR

Students, educators, and professionals in mathematics, particularly those using Mathematica for calculus and limit evaluations involving multiple variables.

Curl
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Can MMA take limits as 2 variables approach a value?
I want to take the limit as h and k both approach 0 for f(x+h,y+k)-...
Is there some trick to doing this?
 
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The help system USED to show examples of Limit[Limit[expr,x->x0],y->y0] along with demonstrations of why the order might or might not matter. Unfortunately it looks like they have moved or removed that in the current help and I can't find it.
 

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