How to rationalize the radical to evaluate a limit

👉 Learn how to evaluate the limit of a function by rationalizing the radical. 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 (this can involve rationalization) 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
youtube.com/playlist?list=PL0G-Nd0V5ZMoExaVo7gq…
✅Evaluate Limits of Complex Fractions
youtube.com/playlist?list=PL0G-Nd0V5ZMoSq9t3zb7…
✅Evaluate Limits of Polynomials
youtube.com/playlist?list=PL0G-Nd0V5ZMoBSFzIOpl…
✅Evaluate Limits of Rational Expressions
youtube.com/playlist?list=PL0G-Nd0V5ZMoNU--OF8i…
✅Evaluate Limits with Square Roots
youtube.com/playlist?list=PL0G-Nd0V5ZMqzZWQRxP7…
✅Evaluate Limits with Trig
youtube.com/playlist?list=PL0G-Nd0V5ZMog7b45gvd…
✅Limits of Piecewise Functions
youtube.com/playlist?list=PL0G-Nd0V5ZMowAV5Q3To…
✅Evaluate Limits with Transcendentals
youtube.com/playlist?list=PL0G-Nd0V5ZMpRFzLGOqd…
✅Evaluate Limits Difference Quotient
youtube.com/playlist?list=PL0G-Nd0V5ZMo6xxz5CMs…
✅Evaluate Limits from a Graph
youtube.com/playlist?list=PL0G-Nd0V5ZMr6ViSUBGA…
✅Evaluate Limits of Absolute Value
youtube.com/playlist?list=PL0G-Nd0V5ZMqRkB5EJaZ…
✅Evaluate Limits of Square Root
youtube.com/playlist?list=PL0G-Nd0V5ZMoDhPVXq9a…
✅Holes and Asymptotes of Rational Functions
youtube.com/playlist?list=PL0G-Nd0V5ZMrxz9tL2Wr…
✅Learn about Limits
youtube.com/playlist?list=PL0G-Nd0V5ZMqt93AcEam…
✅Find the Value that makes the Function Continuous
youtube.com/playlist?list=PL0G-Nd0V5ZMp-jbN3mkH…
✅Is the Functions Continuous or Not?
youtube.com/playlist?list=PL0G-Nd0V5ZMrt97LubQA…
✅Evaluate Limits using a Table of Values
youtube.com/playlist?list=PL0G-Nd0V5ZMqsyIOJ0nQ…
✅Evaluate Limits at Infinity
youtube.com/playlist?list=PL0G-Nd0V5ZMqeLlVmr5f…


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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: freemathvideos.com/about-me/