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\[\lim_{n \rightarrow \infty}\sqrt{n^2+2n+3}-n\]
@ganeshie8 @campbell_st
@Abhisar @dan815 @e.mccormick @waterineyes
rainbowgirl it's a limit (You look like you've never heard of calculus)
You want to find a way to eliminate the square root . this function is \[\lim_{x \rightarrow \infty} \frac{n-\sqrt{n^2+2n+3}}{1}\]In cases like these, you multiply by the conjugate, \( n+ \sqrt{n^2 +2n +3}\)
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@Jhannybean thx
you multiply both top and bottom of your original function by the conjugate* sorry.
Similar to \( (a-b)(a+b) = a^2 -b^2\), you will by left with a square root-less function ontoop, with your conjugate on bottom. Do you still need me to explain further? :)
@Jhannybean I got the idea
Great :) good luck!
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