Find the Limit of (x - sqrt(x)) as x approaches infinity

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Find the Limit of (x - sqrt(x)) as x approaches infinity

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Much easier way:
x-x^1/2
= (x)(1-x^-1/2)
Lim->infinity = (infinity)(1)
= infinity

jhonnyrock

this WAS helpful to someone in the world!
please keep more of these short little challenges videos, they are so satisfying, and finally something i can pick up as an undergrad in my first semester, thank youuu!

wandrespupilo

As always, enjoyed your beautiful presentation with the yellow pencil and paper.

aminramazanifar

is it possible to do one video for a list of how to do general limits.

aelinwhitehorn

Well this was really helpful to someone in this world thanks and keep going

lalalisa

x – sqrt(x) = sqrt(x)·(sqrt(x) – 1). sqrt(x) diverges, and sqrt(x) – 1 diverges in the same direction, so their product diverges.

angelmendez-rivera

oneliner: just introduce y:=1/x and pass to lim (y->0).

edal

Shouldn't we assume that x != 0 when we're multiplying nominator and denominator by 1/x in the second step? As well as pointing out that this function is defined for x > 0? Strict, because of 1/x thing ...

jakubjurczak

just take root x common then root x approaches infinity as well as rootx-1 so their product goes infinity as well.

jatinkapoor

How did you know to multiply top & bottom by 1/x ? Why not 1/x^2 or 1/x^(1/2) ?

nexusnexus

"Take it to the limit" ~ The Eagles

douglasstrother

How could I used these things in the real life (That is the question)

fadwamuftah

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