Limits at Infinity With Radicals & Fractional Exponents

This calculus video tutorial explains how to find the limit at infinity of x root x. To solve this problem, you need to have a good understanding of radicals, fractional exponents, and l'hopital's rule.

Limits - Free Formula Sheet:

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Introduction to Limits:

How To Evaluate Limits from a Graph:

Evaluating Limits by Factoring:

Limits of Rational Functions:

Limits of Radical Functions:

Limits of Trigonometric Functions:

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How To Find the Limit at Infinity:

Infinite Limits + Vertical Asymptotes:

Limits at Infinity with Radicals:

Limits of Absolute Value Functions:

Limits of Composite Functions:

The Squeeze Theorem:

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Limits and Logarithms:

Limits of Exponential Functions:

Piecewise Functions - Limits:

3 Step Continuity Test:

Continuity and Differentiability:

Limits - Test Review:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[georgesadler]

MR. Organic Chemistry Tutor, thank you for another outstanding video/lecture on Limits at Infinity with Fractions and Radicals.

[renewd]

I've been following this playlist, so I applied what I had learned:
Using direct substitution: ∞^(1/∞) = a very large number to the power of zero = 1

[dragofand]

This is exactly what's on my quiz this coming Monday. What is this timing.

[charlesgormley]

If you take the limit of 1/x as it approaches infinity it is equal to 1. Then the limit as x approaches infinity of x is infinity. Then Infinity raised to 0 power is 1.

[ywouiAim]

I have a very similar question, but the limit is as x tends to 0+, the answer is 0, but why?

[gal-zki]

When, exactly, are limits and logarithms interchangeable?

[johnfrancisechon]

Do you have a video about laplace transform?

[mastershooter]

wait how could the limit even exist what number multiplied by itself infinite number of times gives you infinity? that can be any positive number

[yosufel]

X^x = e^((ln(x))/x)
Now Just calculing lim ln(x)/x, let x=1/t " t=> 0+ " ...u find 0 ،so limit equal 1

[andrewphiri]

Hey, I love your content but check the first example: is the answer supposed to be 0 or 1? I'm getting 1

[blackmesa]

Absolute monster. Demolished this problem. He wakes up in the morning so spit on calculus's face and it likes it.

[SHEWAGVSEC]

Why did he take natural log not common log?

[Zaptrap]

0:55 Can I not put 1/infinity here which equal 0? then degree zero of infinite equals to 1 to get the answer?

[joshuaaustin]

infinity raised to the quantity one divided by infinity is equal to wan.
g'day

[kkd]

Hey man when are you gonna go get a girlfriend