Test Limit as x approaches minus infinity for Square root Rationalization

[@harleenc8153]

Anil, you are the reason I got a 95% on my math exam

[@MathematicsTutor]

Great! Keep it up!

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7 years later and no one tops your videos! Thank you

[@MathematicsTutor]

Thanks a lot for the support for all this time. It is Subscribers like you who make the difference. Here is related playlist with related videos: ua-cam.com/video/soBQAiQhKRY/v-deo.html
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[@mxhnoor3228]

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[@harleenc8153]

yess I agree! this video helps lots!!!

[@DennisChangweKunda]

The reason I love math everyday I learn something new

[@theabsolutelight7077]

Students like me who cant go to expensive tutions. U seem like god to me

[@mxhnoor3228]

BIG FACTSZ

[@MathematicsTutor]

Post questions. I will provide solution in a day or two.
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[@mdshahreyarhannan2761]

Thanks sir mere bahut din k problem Aaj aap solve kr diye main khush aapke math ki solution se

[@MathematicsTutor]

Thanks, here are some more ua-cam.com/video/jmZIEyabJIU/v-deo.html

[@jethroegatbunton2983]

Thanks, you're a rockstar. I've been solving a similar problem for 2 hours now 'till iI see this.

[@mc_solo3255]

Thanks sir, i know it was 5 years ago but it actually was very helpful.

[@MathematicsTutor]

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[@ashfaqurrahman6968]

Thank you for solving this kind of question, I was very much confused in this type of math, Love from Bangladesh💖

[@chong4899]

Nice explanation!!!finally able to understand the question confuse me for a year.

[@udaykumar5g]

Super explain. your teaching is excellent

[@dalinmarinos16]

God bless you Anil!

[@HaraMoffat]

That last part how you factorised X2 I didn't understand

[@MathematicsTutor]

x^2 + x = x^2(1 + x/x^2) = x^2(1 + 1/x) since x/x^2 = 1/x
Hope that helps. Thanks

[@colicx_9980]

THANK YOU SO MUCH

[@MathematicsTutor]

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[@surendrakverma555]

Thanks Sir

[@MathematicsTutor]

Thanks

[@adityagarkoti7712]

Catchy explanation😊😊😊

[@veranaroditski3939]

Great video! Thank u!!

[@quantised1703]

thank you so much!!

[@satwikchauhan1075]

Sir , how can we put limit in between the brackets at one place , is it right to do so
I'm referring to the above solution where you put the value of x at a place ,. about 2 steps from below

[@unnieanime1373]

Thank you so much sir.

[@anujain6982]

Nice explanation sir😊

[@AhmedIbrahim-j9w]

You are the best

[@faisalalamri4091]

What would be the answer if we had the same function but the limit is aproching postive infinty?

[@dagrozy1738]

Damn I predicted -X good!

[@awanbiru9155]

Lim_(to -inf)[(Sqrt(x^2+2) -x] Why this one cant use rationalise method?

[@MathematicsTutor]

You can use

[@awanbiru9155]

@@MathematicsTutor
after follow the steps shown in video，
i get:
Lim_(to -inf)[2/(|x|+x)]
= Lim_(to -inf)[2/(-x+x)]
= Lim_(to -inf)[2/0]
then unable to proceed because denominator is 0🥲

[@theabsolutelight7077]

Thanks u sir

[@mathegundivhuho4191]

Why is this sequence indeterminate

[@AbdulRazakZakaria-f6j]

Thanks

[@rachidhaha2795]

Well understood

[@MdImran-cf3iu]

Sir,you put limit only for 1/x but what about x and x^2.

[@theophonchana5025]

Square root of (x^(2))

[@soyignacio4853]

ily

[@eddiechen6389]

Question: as x approaches negative infinity" u put an absolute value sign around (x) on the last step, doesn't it make it a positive x instead of a negative x?

[@MathematicsTutor]

Yes, absolute x is the andswer. It is very important to understand that the square-root is always positive.
I hope that is clear. Square root of x square is absolute x

[@naveenlista2887]

🎉

[@JyotiSingh-be7jm]

Sir jab AP Indian ho to Hindi me hi samjha dete

[@Entertainmentandexplore]

Not proper way of explanation

[@VndNvwYvvSvv]

Yes, it is. It is a complete and correct explanation. Often you so not see the absolute value piecewise function, only that √x² must become -x if x-> -♾️.