One Sided Limits, Graphs, Continuity, Infinity, Absolute Value, Squeeze Thereom - Calculus Review

This calculus review tutorial focuses on evaluating one sided limits from graphs and functions including absolute value functions, trigonometric, exponential and logarithmic functions. It also goes into the squeeze theorem and the greatest integer function.
Introduction to Limits:
• Calculus 1 - Introduct...
How To Evaluate Limits From a Graph:
• How To Evaluate Limits...
Evaluating Limits By Factoring:
• Evaluating Limits By F...
Limits of Rational Functions :
• Limits of Rational Fun...
Limits of Radical Functions:
• How To Evaluate Limits...
Limits of Trigonometric Functions:
• Limits of Trigonometri...
___________________________________
How To Find The Limit at Infinity:
• How To Find The Limit ...
Infinite Limits + Vertical Asymptotes:
• Infinite Limits and Ve...
Limits at Infinity With Radicals:
• Limits at Infinity Wit...
Limits of Absolute Value Functions:
• Limits and Absolute Value
Limits of Composite Functions:
• How To Find The Limit ...
The Squeeze Theorem:
• Squeeze Theorem
____________________________________
Limits and Logarithms:
• Limits and Logarithms
Limits of Exponential Functions:
• Limits of Exponential ...
Piecewise Functions - Limits:
• Piecewise Functions - ...
3 Step Continuity Test:
• 3 Step Continuity Test...
Continuity and Differentiability:
• Continuity and Differe...
Limits - Test Review:
• One Sided Limits, Grap...
_____________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

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At 51:19 you forget to carry the negative sign on the 1 and continue on with the equation.

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[@colint3758]

At 51:19, as you were rewriting and making the equation similar, you had forgotten to bring the - symbol. Thus making the answer a positive square root (5)/50. Instead of the correct answer which is a negative square root (5)/50.

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51:32 answer is negative I believe. Great WORK!

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18:49 It's best to just recognize there is a difference of squares instead of foiling. And 33:26 again just think difference of squares and you will come to the solution appreciably faster.

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[@the81kid]

A mistake at 2:37:46? I think it should be: x, x>0 and -x, x

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[@amrita1020]

In the problem at 2:23:00 you cud have directly multiply and divide the number by X and smoothly solved in just three steps.

[@leopinzon8423]

why do you keep the absolute value after substitution in this limit equation @ ( 1:34:50 , 1:35:21) compared to the next limit equation @ ( 1:38:02 , 1:38:38)?

[@leopinzon8423]

At 1:38:04 why are you allowed to use direct substitution in this limit , Unlike before in the other examples?

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[@Alexandra-vs2cr]

2:37:24 Am I wrong, or is this supposed to be written x>0 for x and x

[@calambuhayjr.josevirgiliog2094]

at 1:20:00 arent the greatest integers to be used are -4 for the limit from the right, and -5 for the limit from the left since the sample would be -4.1 and -3.9?

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[@HJ-lw6iy]

Thank you , finally I got it

[@kamvelihlegwala4742]

you forgot the negative sign at 51:18, otherwise great video, helped me a lot

[@JJSmalls]

51:55 Is missing the negative in the answer. Great video though.

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next time can you elaborate more on why do you do this and that on this step? thank you

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[@rachel-iu4dc]

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[@maryamadil7897]

at 51:57 there will be a minus sign with the answer, right? (minus - )underoot 5/50 and not (+) underoot 5/50

[@rikoch.9569]

What calculator do you use? mine seems to not automatically solve the limit

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really thank you very very much

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[@chriswilliams5291]

2:37:24 Is this right? Based on the graph shouldn't it be x if x> 0 and -x if x < 0?

[@ahmet8266]

01:44:53 vertical lines are graph of the cosecant function not secant.

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41:00 fractions in fractions limits 47:00 ^but with conjagets too

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[@mariannaa3945]

Is ||x|| the same as |x|, when there is a negative number in ||x||, will it become positive like |x| or stay negative?

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[@M_.a_.l_.i_.k]

51:55 I think it will be (- Sqrt of 5 over 50) negative ,not positive Am I Right ?

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[@ejoshtech5358]

Great tutorial. But just asking, how will I apply limits in the practical world

[@beautifulday1665]

I guess it's used in engineering when estimating the area of some piece of land. Like in civil engineering.

[@murasaki7338]

I'm an econ major and we mostly apply the things we learnt from our calc classes

[@Pistol_78]

57:25 it says to use 2x+1 if x is lesser than -3 but you still input -3

[@Itasoo.0]

What about the negative, where did it disappear? 51:11

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The dislike coming from students who are told to summarize this whole video

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[@rethabilemahasane7580]

Sir at 51:14 where did the negative 1 at the numerator go?

[@jensalkhani8895]

I think that at 58:00 its not continuous, because lim x -> a f(x) =f(a)

[@babycarrots2693]

Can someone explain why @ 1:43 x approaching from the left side (going from left to right) uses an arrow that goes from right to left. Shouldn’t the arrow be like -> this not

[@babycarrots2693]

@1:11

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Wish I founded this before my exam

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Thanks!