Calculating left and right hand limits of a radical function

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👉 Learn how to evaluate the limit of a radical function. 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 radical function is continuos for non-negative values of the radical function, hence the limit of a radical function evaluated by direct substitution of the value which the variable tends to for non negative radical functions. When the radical function evaluates to a negative number for the limit value, then the limit of the function does not exist.

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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hi, Brian, thre is a limit law saying that lim of sqrt of x-2 = sqrt of lim of x-2.. i can find the lim of x-2 first then only take sqrt. lim of x-2 is 0 as x tends to 2 (we can use direct substitution ) then sqrt of zero is zero... or think of another way.. if the answer is DNE then that limit law won't be established.. could you please justify it.. thank you Brian.

nicholasteong
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Good but hopefully he did not put = DNE just limit ... DNE

romelmarquez