Evaluating Limits With Fractions and Square Roots

This calculus video tutorial focuses on evaluating limits with fractions and square roots. Multiply the complex fraction by the common denominator and by the conjugate of the radical expression.

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:

Limits - Free Formula Sheet:

[cozz]

we aint getting a science major with this one 🗣️🗣️🗣️🔥🔥🔥🔥

[keithstern]

You make this course so much interesting where one enjoys to solve these problems. Thank you very much Sir!

[georgesadler]

MR. Organic Chemistry Tutor, thank you for explaining the step-by-step process of Limits with Fractions and Square Roots.

[abdulsalaamollatunjinoah]

you're superb! your teaching skills are awesome. a thousand like for all of your videos

[samiulislamdurjoy]

G 182
note 0:25 to get rid of square root, multiply by conjugate....to get rid of fractions multiply by common denominator of the numerator.

[vojka]

I never subbed so fast in my life and liked all of your videos, you are amazing and the best youtuber on the internet.

[mariamk]

I'm not on this topic yet, I guess I will need it in the future. But u are the best though❤😊

[lucnguyen]

Technique conjugate multiplication . thank you

[ClappertonKaonga]

I was searching exactly for this thank you

[adarshdev]

Hi, I have this doubt: why don't we take + or - while taking square roots only when we find limits?

[d.v.]

should have paid 6k per year to this dude rather than my uni ngl

[jmb_gaming]

My teacher literally makes us input and lol, it's such a drag.

[lowkey_mee]

I'm so dumb i still didn't understand 😭 i'm gonna fail

[WalkinWhiskey]

In the last example, I substituted 6.1 (since the limit was towards 6), in my calculator to test the result and i got (-0.0183656) and then i also did 6.2 and got another similar increased value, I then subtracted both of them, and the value i got i added it to the first one which was 6.1 so that I'd get an estimated value of what it'd be if it was 6.0. And it was basically the same as the correct answer: 0.0185152. Is this viable for other finite limits @TheOrganicChemistryTutor ?

[zacharyfalkowski]

You can apply l'hopital's rule to every example in this and solve each limit way faster