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[SOLVED] limit with square root

karush

Well-known member
Jan 31, 2012
2,717
[tex]\lim_{x\to +\infty}\sqrt{x^2+3}-x[/tex]

sorry first of all how do you turn this string into latex
I don't see the icon tool on the editor

thnx
 
Last edited by a moderator:

awkward

Member
Feb 18, 2012
36
[tex]\lim_{x\to +\infty}\sqrt{x^2+3}-x}[/tex]

sorry first of all how do you turn this string into latex
I don't see the icon tool on the editor

thnx
$$\lim_{x \to +\infty} \sqrt{x^2+3}-x$$

Click on Reply With Quote to see the LaTex. Or better yet, there is a "How To Use LaTex on This Site" thread in the LaTeX Help section of the site.

Hint: Try multiplying by $$ \frac{\sqrt{x^2+3} + x}{\sqrt{x^2+3} + x} $$
 
Last edited:

checkittwice

Member
Apr 3, 2012
37
[tex]\lim_{x\to +\infty}{(\sqrt{x^2 + 3} - x)}[/tex]
Redo post:


Alternative



Using the Binomial Theorem for [tex](x^2 + 3)^{\frac{1}{2}},[/tex]

write the limit as [tex]\displaystyle\lim_{x\to +\infty}{\bigg(x + \dfrac{3}{2x} + (all \ \ other \ \ terms \ \ with \ \ degree \ \ less \ \ than \ \ -1) \ - \ x \bigg)}[/tex]