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What is the limit value?

Guest Apr 28, 2017
 #1
avatar+26971 
+3

As follows:

 

.

Alan  Apr 28, 2017
 #2
avatar+7449 
+2

What is the limit value of this?

 

\(\lim_{x \to 0}( \frac{(x+2)^2}{x}-\frac{4}{x})\)

 

\(f(x)=\frac{(x+2)^2-4}{x}=\frac{x^2+4x+4-4}{x}=\frac{x^2+4x}{x}\\\color{blue}f(x)=x+4\\\color{blue}x\in \mathbb R\ ( \ except\ x = 0\ )\)

 

\(\lim_{x \to 0}( \frac{(x+2)^2}{x}-\frac{4}{x})=4\)

 

 

laugh  !

asinus  Apr 28, 2017
edited by asinus  Apr 28, 2017
edited by asinus  Apr 28, 2017

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