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  • Numbers
  • Number Systems
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  • Algebraic Expressions
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  • Factorisation
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  • Limits
    • Introduction to Limits
    • Laws of Limits
    • Left-Hand and Right-Hand Limits
    • Limits at Infinity
    • Indeterminate Forms
    • L'Hospital's Rule
  • Continuity
  • Differentiation
  • Applications of Derivatives
  • Integration
  • Applications of Integrals
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  • Measures of Dispersion
  • Correlation
  • Probability
  • Random Variables
  • Probability Distributions
  • Linear Programming
  • Formulation of Linear Programming Problems
  • Graphical Method
  • Constraints and Feasible Region
  • Optimization Problems
  • Mathematical Reasoning
  • Statements
  • Logical Connectives
  • Implications
  • Validity of Statements and Arguments
← Inverse of a FunctionIntroduction to Limits →

Limits

Limits explained with intuitive concepts, basic rules, left and right limits, and step-by-step examples for strong calculus foundations.

1.Introduction to Limits
Meaning of limits, how they describe approaching values, and simple examples to understand the core idea.
2.Laws of Limits
Basic laws of limits with clear rules for combining limits of sums, products, quotients, and powers.
3.Left-Hand and Right-Hand Limits
Meaning of left-hand and right-hand limits with simple notation, intuitive explanations, and clear examples.
4.Limits at Infinity
Meaning of limits at infinity, how functions behave as x grows very large or very small, with clear examples.
5.Indeterminate Forms
Meaning of indeterminate forms and why certain limit expressions cannot be evaluated directly, with clear examples.
6.L'Hospital's Rule
L'Hospital's Rule explained with clear conditions, simple examples, and how it resolves 0/0 and ∞/∞ limits.
← Inverse of a FunctionIntroduction to Limits →
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