Evaluating a limit by factoring

👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time.
The limit of a function is usually evaluated by direct substitution of the value which the variable tends to. When the function is a rational expression such that direct substitution leads to zero in the denominator, we find a way to either eliminate the denominator by multiplying both the numerator and the denominator by a common factor or decompose the denominator and the numerator into constituent parts so that like terms can cancel out.

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Organized Videos:
✅The Limit
   • The Limit  
✅Evaluate Limits of Complex Fractions
   • Evaluate Limits of Complex Fractions  
✅Evaluate Limits of Polynomials
   • Evaluate Limits of Polynomials  
✅Evaluate Limits of Rational Expressions
   • Evaluate Limits of Rational Expressions  
✅Evaluate Limits with Square Roots
   • Evaluate Limits with Square Roots  
✅Evaluate Limits with Trig
   • Evaluate Limits with Trig  
✅Limits of Piecewise Functions
   • Limits of Piecewise Functions  
✅Evaluate Limits with Transcendentals
   • Evaluate Limits with Transcendentals  
✅Evaluate Limits Difference Quotient
   • Evaluate Limits Difference Quotient  
✅Evaluate Limits from a Graph
   • Evaluate Limits from a Graph  
✅Evaluate Limits of Absolute Value
   • Evaluate Limits of Absolute Value  
✅Evaluate Limits of Square Root
   • Evaluate Limits of Square Root  
✅Holes and Asymptotes of Rational Functions
   • Holes and Asymptotes of Rational Func...  
✅Learn about Limits
   • Learn about Limits  
✅Find the Value that makes the Function Continuous
   • Find the Value that makes the Functio...  
✅Is the Functions Continuous or Not?
   • Is the Functions Continuous or Not?  
✅Evaluate Limits using a Table of Values
   • Evaluate Limits using a Table of Values  
✅Evaluate Limits at Infinity
   • Evaluate Limits at Infinity  


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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/