LimitEducation

Struct LimitEducation 

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pub struct LimitEducation;
Expand description

Educational explanations for limit operations

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impl LimitEducation

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pub fn direct_substitution_explanation( expr: &Expression, variable: &Symbol, point: &Expression, result: &Expression, ) -> EnhancedStepExplanation

Generate educational explanation for direct substitution limit

Explains the process of evaluating a limit by directly substituting the limit point into the expression.

§Arguments
  • expr - The expression to take the limit of
  • variable - The variable approaching the limit point
  • point - The value the variable approaches
  • result - The computed limit result
§Returns

Complete step-by-step explanation with at least 3 steps

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pub fn indeterminate_form_explanation( expr: &Expression, variable: &Symbol, point: &Expression, form_type: &str, ) -> EnhancedStepExplanation

Generate educational explanation for indeterminate form detection

Explains how to identify indeterminate forms (0/0, infinity/infinity, etc.) and the strategies needed to resolve them.

§Arguments
  • expr - The expression producing an indeterminate form
  • variable - The variable in the limit
  • point - The limit point
  • form_type - The type of indeterminate form (e.g., “0/0”)
§Returns

Complete step-by-step explanation with at least 4 steps

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pub fn lhopital_rule_explanation( numerator: &Expression, denominator: &Expression, variable: &Symbol, point: &Expression, ) -> EnhancedStepExplanation

Generate educational explanation for L’Hopital’s rule application

Explains the complete process of applying L’Hopital’s rule to resolve indeterminate forms by differentiating numerator and denominator.

§Arguments
  • numerator - The numerator expression
  • denominator - The denominator expression
  • variable - The variable in the limit
  • point - The limit point
§Returns

Complete step-by-step explanation with at least 6 steps

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pub fn limit_laws_explanation( expr: &Expression, variable: &Symbol, point: &Expression, ) -> EnhancedStepExplanation

Generate educational explanation for limit laws application

Explains how limit laws (sum, product, quotient, constant multiple) can be used to break down complex limits into simpler parts.

§Arguments
  • expr - The expression whose limit to find
  • variable - The variable in the limit
  • point - The limit point
§Returns

Complete step-by-step explanation with at least 4 steps

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pub fn limit_at_infinity_explanation( expr: &Expression, variable: &Symbol, ) -> EnhancedStepExplanation

Generate educational explanation for limits at infinity

Explains the technique of dividing by the highest power to evaluate limits as the variable approaches infinity.

§Arguments
  • expr - The expression whose limit to find
  • variable - The variable approaching infinity
§Returns

Complete step-by-step explanation with at least 4 steps

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