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How to use the difference of two squares to evaluate the limit by substitution
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👉 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.
Organized Videos:
✅The Limit
✅Evaluate Limits of Complex Fractions
✅Evaluate Limits of Polynomials
✅Evaluate Limits of Rational Expressions
✅Evaluate Limits with Square Roots
✅Evaluate Limits with Trig
✅Limits of Piecewise Functions
✅Evaluate Limits with Transcendentals
✅Evaluate Limits Difference Quotient
✅Evaluate Limits from a Graph
✅Evaluate Limits of Absolute Value
✅Evaluate Limits of Square Root
✅Holes and Asymptotes of Rational Functions
✅Learn about Limits
✅Find the Value that makes the Function Continuous
✅Is the Functions Continuous or Not?
✅Evaluate Limits using a Table of Values
✅Evaluate Limits at Infinity
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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.
Organized Videos:
✅The Limit
✅Evaluate Limits of Complex Fractions
✅Evaluate Limits of Polynomials
✅Evaluate Limits of Rational Expressions
✅Evaluate Limits with Square Roots
✅Evaluate Limits with Trig
✅Limits of Piecewise Functions
✅Evaluate Limits with Transcendentals
✅Evaluate Limits Difference Quotient
✅Evaluate Limits from a Graph
✅Evaluate Limits of Absolute Value
✅Evaluate Limits of Square Root
✅Holes and Asymptotes of Rational Functions
✅Learn about Limits
✅Find the Value that makes the Function Continuous
✅Is the Functions Continuous or Not?
✅Evaluate Limits using a Table of Values
✅Evaluate Limits at Infinity
Connect with me: