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Is lim(3+4/3n) equal to 3?

 May 24, 2017
 #1
avatar+202 
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\(lim_{x\rightarrow WHERE?}\)

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 May 24, 2017
 #2
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+1

Sorry, I forgot :)

to infinity

Guest May 24, 2017
 #3
avatar+7352 
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\(\lim_{n\rightarrow \infty} (3+\frac{4}{3}n)=3+\infty=\infty \\~\\ \lim_{n\rightarrow \infty} (3+\frac4{3n})=3+0=3\)

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 May 24, 2017
 #4
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Thanks a lot :)

Guest May 24, 2017
 #5
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0

What about this one?

 May 24, 2017
 #6
avatar+7352 
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\(\lim_{n\rightarrow \infty}(\frac{\sqrt{2n^3}-1}{n^{\frac32}}) \\~\\ = \lim_{n\rightarrow \infty}(\frac{ \sqrt{2n^3}}{n^{\frac32}}-\frac{1}{n^{\frac32}}) \\~\\ = \lim_{n\rightarrow \infty}( \frac{ 2^{\frac12}n^{\frac32} }{ n^{\frac32}}-\frac{1}{n^{\frac32}}) \\~\\ = \lim_{n\rightarrow \infty}( 2^{\frac12}-\frac{1}{n^{\frac32}} ) \\~\\ =2^{\frac12}-0 \\~\\ =\sqrt2\)

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 May 24, 2017

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